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Finding the Third Proportional to 591,791 and 865,537

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Solution

The third proportional to 591,791 and 865,537 is: 1,265,910.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,791 : 865,537 = 865,537 : x
  2. Step 2: Convert to fraction form
    591,791/865,537 = 865,537/x
  3. Step 3: Cross multiply
    591,791x = 865,537 × 865,537
  4. Step 4: Simplify right side
    591,791x = 749,154,298,369
  5. Step 5: Solve for x
    x = 749,154,298,369/591,791
  6. Step 6: Final answer
    x = 1,265,910.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.