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Finding the Third Proportional to 637,874 and 987,681

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Solution

The third proportional to 637,874 and 987,681 is: 1,529,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,874 : 987,681 = 987,681 : x
  2. Step 2: Convert to fraction form
    637,874/987,681 = 987,681/x
  3. Step 3: Cross multiply
    637,874x = 987,681 × 987,681
  4. Step 4: Simplify right side
    637,874x = 975,513,757,761
  5. Step 5: Solve for x
    x = 975,513,757,761/637,874
  6. Step 6: Final answer
    x = 1,529,320.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.