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Finding the Third Proportional to 636,607 and 865,099

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Solution

The third proportional to 636,607 and 865,099 is: 1,175,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,607 : 865,099 = 865,099 : x
  2. Step 2: Convert to fraction form
    636,607/865,099 = 865,099/x
  3. Step 3: Cross multiply
    636,607x = 865,099 × 865,099
  4. Step 4: Simplify right side
    636,607x = 748,396,279,801
  5. Step 5: Solve for x
    x = 748,396,279,801/636,607
  6. Step 6: Final answer
    x = 1,175,601.71

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.