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Finding the Third Proportional to 542,806 and 1,157,748

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Solution

The third proportional to 542,806 and 1,157,748 is: 2,469,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,806 : 1,157,748 = 1,157,748 : x
  2. Step 2: Convert to fraction form
    542,806/1,157,748 = 1,157,748/x
  3. Step 3: Cross multiply
    542,806x = 1,157,748 × 1,157,748
  4. Step 4: Simplify right side
    542,806x = 1,340,380,431,504
  5. Step 5: Solve for x
    x = 1,340,380,431,504/542,806
  6. Step 6: Final answer
    x = 2,469,354.49

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.