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Finding the Third Proportional to 635,524 and 931,902

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Solution

The third proportional to 635,524 and 931,902 is: 1,366,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,524 : 931,902 = 931,902 : x
  2. Step 2: Convert to fraction form
    635,524/931,902 = 931,902/x
  3. Step 3: Cross multiply
    635,524x = 931,902 × 931,902
  4. Step 4: Simplify right side
    635,524x = 868,441,337,604
  5. Step 5: Solve for x
    x = 868,441,337,604/635,524
  6. Step 6: Final answer
    x = 1,366,496.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.