What is the % difference between 1,099,009 and 1,023,259?

To calculate the percentage difference between two numbers, we use the formula:

\[
\text{Percentage Difference} = \frac{\lvert \text{Value}_1 - \text{Value}_2 \rvert}{\text{Average of the Two Values}} \times 100
\]

Where the average of the two values is:

\[
\text{Average} = \frac{\text{Value}_1 + \text{Value}_2}{2}
\]

Given:
\[
\text{Value}_1 = 1,099,009 \quad \text{and} \quad \text{Value}_2 = 1,023,259
\]

### Step-by-Step Solution:

1. **Find the difference** between the two values:
   \[
   \text{Difference} = \lvert 1,099,009 - 1,023,259 \rvert = 75,750
   \]

2. **Find the average** of the two values:
   \[
   \text{Average} = \frac{1,099,009 + 1,023,259}{2} = \frac{2,122,268}{2} = 1,061,134
   \]

3. **Calculate the percentage difference**:
   \[
   \text{Percentage Difference} = \frac{75,750}{1,061,134} \times 100 \approx 7.14\%
   \]

So, the percentage difference is approximately **7.14%**.

Would you like further details or have any questions? Here are 5 related questions you might find interesting:

1. How is percentage difference different from percentage change?
2. Can you calculate the percentage change from 1,023,259 to 1,099,009?
3. How would rounding affect the accuracy of percentage difference?
4. What are the real-world applications of percentage difference?
5. How can I use this formula in complex datasets?

**Tip**: Always remember to use absolute values when calculating percentage difference, as it measures the magnitude, not the direction!

Learn how to calculate the percentage difference between two values, 1,099,009 and 1,023,259, using the percentage difference formula. This problem involves basic arithmetic concepts, such as absolute value and averages. Detailed solution provided, suitable for Grades 9-11.

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