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Finding the Third Proportional to 542,602.13 and 1,146,102.75

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Solution

The third proportional to 542,602.13 and 1,146,102.75 is: 2,420,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,602.13 : 1,146,102.75 = 1,146,102.75 : x
  2. Step 2: Convert to fraction form
    542,602.13/1,146,102.75 = 1,146,102.75/x
  3. Step 3: Cross multiply
    542,602.13x = 1,146,102.75 × 1,146,102.75
  4. Step 4: Simplify right side
    542,602.13x = 1,313,551,513,557.56
  5. Step 5: Solve for x
    x = 1,313,551,513,557.56/542,602.13
  6. Step 6: Final answer
    x = 2,420,837.39

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.