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Finding the Third Proportional to 498,187.13 and 1,092,124.69

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Solution

The third proportional to 498,187.13 and 1,092,124.69 is: 2,394,153.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,187.13 : 1,092,124.69 = 1,092,124.69 : x
  2. Step 2: Convert to fraction form
    498,187.13/1,092,124.69 = 1,092,124.69/x
  3. Step 3: Cross multiply
    498,187.13x = 1,092,124.69 × 1,092,124.69
  4. Step 4: Simplify right side
    498,187.13x = 1,192,736,333,046.97
  5. Step 5: Solve for x
    x = 1,192,736,333,046.97/498,187.13
  6. Step 6: Final answer
    x = 2,394,153.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.