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Finding the Third Proportional to 636,605 and 865,096

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Solution

The third proportional to 636,605 and 865,096 is: 1,175,597.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,605 : 865,096 = 865,096 : x
  2. Step 2: Convert to fraction form
    636,605/865,096 = 865,096/x
  3. Step 3: Cross multiply
    636,605x = 865,096 × 865,096
  4. Step 4: Simplify right side
    636,605x = 748,391,089,216
  5. Step 5: Solve for x
    x = 748,391,089,216/636,605
  6. Step 6: Final answer
    x = 1,175,597.25

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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.