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Finding the Third Proportional to 636,617 and 865,114

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Solution

The third proportional to 636,617 and 865,114 is: 1,175,624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,617 : 865,114 = 865,114 : x
  2. Step 2: Convert to fraction form
    636,617/865,114 = 865,114/x
  3. Step 3: Cross multiply
    636,617x = 865,114 × 865,114
  4. Step 4: Simplify right side
    636,617x = 748,422,232,996
  5. Step 5: Solve for x
    x = 748,422,232,996/636,617
  6. Step 6: Final answer
    x = 1,175,624.01

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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.