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Finding the Third Proportional to 636,662 and 993,741

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Solution

The third proportional to 636,662 and 993,741 is: 1,551,091.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,662 : 993,741 = 993,741 : x
  2. Step 2: Convert to fraction form
    636,662/993,741 = 993,741/x
  3. Step 3: Cross multiply
    636,662x = 993,741 × 993,741
  4. Step 4: Simplify right side
    636,662x = 987,521,175,081
  5. Step 5: Solve for x
    x = 987,521,175,081/636,662
  6. Step 6: Final answer
    x = 1,551,091.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.