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Finding the Third Proportional to 542,102 and 1,188,892

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Solution

The third proportional to 542,102 and 1,188,892 is: 2,607,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,102 : 1,188,892 = 1,188,892 : x
  2. Step 2: Convert to fraction form
    542,102/1,188,892 = 1,188,892/x
  3. Step 3: Cross multiply
    542,102x = 1,188,892 × 1,188,892
  4. Step 4: Simplify right side
    542,102x = 1,413,464,187,664
  5. Step 5: Solve for x
    x = 1,413,464,187,664/542,102
  6. Step 6: Final answer
    x = 2,607,376.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.