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Finding the Third Proportional to 802,333.13 and 1,092,781.13

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Solution

The third proportional to 802,333.13 and 1,092,781.13 is: 1,488,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,333.13 : 1,092,781.13 = 1,092,781.13 : x
  2. Step 2: Convert to fraction form
    802,333.13/1,092,781.13 = 1,092,781.13/x
  3. Step 3: Cross multiply
    802,333.13x = 1,092,781.13 × 1,092,781.13
  4. Step 4: Simplify right side
    802,333.13x = 1,194,170,587,156.27
  5. Step 5: Solve for x
    x = 1,194,170,587,156.27/802,333.13
  6. Step 6: Final answer
    x = 1,488,372.53

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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.