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Finding the Third Proportional to 591,793 and 865,540

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Solution

The third proportional to 591,793 and 865,540 is: 1,265,914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,793 : 865,540 = 865,540 : x
  2. Step 2: Convert to fraction form
    591,793/865,540 = 865,540/x
  3. Step 3: Cross multiply
    591,793x = 865,540 × 865,540
  4. Step 4: Simplify right side
    591,793x = 749,159,491,600
  5. Step 5: Solve for x
    x = 749,159,491,600/591,793
  6. Step 6: Final answer
    x = 1,265,914.76

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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.