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Finding the Third Proportional to 724,171.50 and 1,541,898

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Solution

The third proportional to 724,171.50 and 1,541,898 is: 3,282,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,171.50 : 1,541,898 = 1,541,898 : x
  2. Step 2: Convert to fraction form
    724,171.50/1,541,898 = 1,541,898/x
  3. Step 3: Cross multiply
    724,171.50x = 1,541,898 × 1,541,898
  4. Step 4: Simplify right side
    724,171.50x = 2,377,449,442,404
  5. Step 5: Solve for x
    x = 2,377,449,442,404/724,171.50
  6. Step 6: Final answer
    x = 3,282,992.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.