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Finding the Third Proportional to 542,458.13 and 1,181,351.81

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Solution

The third proportional to 542,458.13 and 1,181,351.81 is: 2,572,718.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,458.13 : 1,181,351.81 = 1,181,351.81 : x
  2. Step 2: Convert to fraction form
    542,458.13/1,181,351.81 = 1,181,351.81/x
  3. Step 3: Cross multiply
    542,458.13x = 1,181,351.81 × 1,181,351.81
  4. Step 4: Simplify right side
    542,458.13x = 1,395,592,104,897.04
  5. Step 5: Solve for x
    x = 1,395,592,104,897.04/542,458.13
  6. Step 6: Final answer
    x = 2,572,718.59

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