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Finding the Third Proportional to 747,403 and 1,160,486

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Solution

The third proportional to 747,403 and 1,160,486 is: 1,801,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,403 : 1,160,486 = 1,160,486 : x
  2. Step 2: Convert to fraction form
    747,403/1,160,486 = 1,160,486/x
  3. Step 3: Cross multiply
    747,403x = 1,160,486 × 1,160,486
  4. Step 4: Simplify right side
    747,403x = 1,346,727,756,196
  5. Step 5: Solve for x
    x = 1,346,727,756,196/747,403
  6. Step 6: Final answer
    x = 1,801,876.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.