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Finding the Third Proportional to 542,410.17 and 1,181,253.38

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Solution

The third proportional to 542,410.17 and 1,181,253.38 is: 2,572,517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,410.17 : 1,181,253.38 = 1,181,253.38 : x
  2. Step 2: Convert to fraction form
    542,410.17/1,181,253.38 = 1,181,253.38/x
  3. Step 3: Cross multiply
    542,410.17x = 1,181,253.38 × 1,181,253.38
  4. Step 4: Simplify right side
    542,410.17x = 1,395,359,535,948.89
  5. Step 5: Solve for x
    x = 1,395,359,535,948.89/542,410.17
  6. Step 6: Final answer
    x = 2,572,517.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.