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Finding the Third Proportional to 636,599 and 865,087

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Solution

The third proportional to 636,599 and 865,087 is: 1,175,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,599 : 865,087 = 865,087 : x
  2. Step 2: Convert to fraction form
    636,599/865,087 = 865,087/x
  3. Step 3: Cross multiply
    636,599x = 865,087 × 865,087
  4. Step 4: Simplify right side
    636,599x = 748,375,517,569
  5. Step 5: Solve for x
    x = 748,375,517,569/636,599
  6. Step 6: Final answer
    x = 1,175,583.87

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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.