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Finding the Third Proportional to 542,203.13 and 1,177,744.13

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Solution

The third proportional to 542,203.13 and 1,177,744.13 is: 2,558,231.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,203.13 : 1,177,744.13 = 1,177,744.13 : x
  2. Step 2: Convert to fraction form
    542,203.13/1,177,744.13 = 1,177,744.13/x
  3. Step 3: Cross multiply
    542,203.13x = 1,177,744.13 × 1,177,744.13
  4. Step 4: Simplify right side
    542,203.13x = 1,387,081,223,972.02
  5. Step 5: Solve for x
    x = 1,387,081,223,972.02/542,203.13
  6. Step 6: Final answer
    x = 2,558,231.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.