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Finding the Third Proportional to 448,291 and 967,428

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Solution

The third proportional to 448,291 and 967,428 is: 2,087,744.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,291 : 967,428 = 967,428 : x
  2. Step 2: Convert to fraction form
    448,291/967,428 = 967,428/x
  3. Step 3: Cross multiply
    448,291x = 967,428 × 967,428
  4. Step 4: Simplify right side
    448,291x = 935,916,935,184
  5. Step 5: Solve for x
    x = 935,916,935,184/448,291
  6. Step 6: Final answer
    x = 2,087,744.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.