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The problem asks to calculate the population density per square mile, assuming each person occupies a 2-foot by 2-foot square.

### Step 1: Area occupied by one person
Each person stands on a square with an area:
\[
\text{Area per person} = 2 \, \text{feet} \times 2 \, \text{feet} = 4 \, \text{square feet}
\]

### Step 2: Total area of one square mile in square feet
Since 1 mile = 5,280 feet, the area of 1 square mile is:
\[
\text{Area of 1 square mile} = 5,280 \, \text{feet} \times 5,280 \, \text{feet} = 27,878,400 \, \text{square feet}
\]

### Step 3: Calculate population density
To find the population density, divide the total area of 1 square mile by the area occupied by one person:
\[
\text{Population density} = \frac{27,878,400 \, \text{square feet}}{4 \, \text{square feet/person}} = 6,969,600 \, \text{people per square mile}
\]

So, the population density would be **6,969,600 people per square mile**.

Would you like further details or have any questions about the solution?

Here are 5 related questions:
1. How would the population density change if each person occupied a 3-foot by 3-foot square?
2. What is the population density if the area was given in square kilometers instead of square miles?
3. How many people would fit in half a square mile under the same conditions?
4. What is the population density per acre if each person still occupies 4 square feet?
5. How would the population density change if there were gaps between the squares people occupy?

**Tip:** Population density is typically measured in people per square mile or square kilometer in urban planning to determine how crowded an area is.

Imagine a very crowded large city, with each person standing on his or her own 2-foot-by-2-foot square, where the squares are adjacent. Calculate the population density per square mile. (1 mile = 5,280 feet)

Learn how to calculate population density by assuming each person stands in a 2-foot-by-2-foot square. This problem involves geometric concepts and unit conversions, perfect for students in Grades 6-8.

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