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Finding the Third Proportional to 542,982 and 1,169,204

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Solution

The third proportional to 542,982 and 1,169,204 is: 2,517,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,982 : 1,169,204 = 1,169,204 : x
  2. Step 2: Convert to fraction form
    542,982/1,169,204 = 1,169,204/x
  3. Step 3: Cross multiply
    542,982x = 1,169,204 × 1,169,204
  4. Step 4: Simplify right side
    542,982x = 1,367,037,993,616
  5. Step 5: Solve for x
    x = 1,367,037,993,616/542,982
  6. Step 6: Final answer
    x = 2,517,648.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.