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Finding the Third Proportional to 542,799 and 1,157,735.25

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Solution

The third proportional to 542,799 and 1,157,735.25 is: 2,469,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,799 : 1,157,735.25 = 1,157,735.25 : x
  2. Step 2: Convert to fraction form
    542,799/1,157,735.25 = 1,157,735.25/x
  3. Step 3: Cross multiply
    542,799x = 1,157,735.25 × 1,157,735.25
  4. Step 4: Simplify right side
    542,799x = 1,340,350,909,092.56
  5. Step 5: Solve for x
    x = 1,340,350,909,092.56/542,799
  6. Step 6: Final answer
    x = 2,469,331.94

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Why These Related Problems?

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