Let's solve the equation for \( d \) using the Pythagorean theorem:

\[
d^2 = 890^2 + 2670^2
\]

First, calculate the squares of 890 and 2670:

\[
890^2 = 792,100
\]
\[
2670^2 = 7,128,900
\]

Now, sum the two values:

\[
d^2 = 792,100 + 7,128,900 = 7,921,000
\]

Finally, take the square root of both sides to find \( d \):

\[
d = \sqrt{7,921,000} \approx 2,814.42
\]

Thus, \( d \approx 2,814.42 \).

Would you like more details or have any questions?

Here are some related questions:
1. What is the Pythagorean theorem used for?
2. How do you approximate square roots without a calculator?
3. How is the distance formula related to the Pythagorean theorem?
4. Can this problem be solved in three dimensions?
5. What is the significance of the square root in geometry?

**Tip:** When solving for a distance, always check that your inputs are squared correctly before summing them.

Learn how to solve for the distance using the Pythagorean Theorem in the equation d^2 = 890^2 + 2670^2. This solution involves calculating the squares, summing them, and taking the square root to find the distance d, which is approximately 2814.42. Ideal for students in Grades 8-10.

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