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Finding the Third Proportional to 539,580 and 791,874

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Solution

The third proportional to 539,580 and 791,874 is: 1,162,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,580 : 791,874 = 791,874 : x
  2. Step 2: Convert to fraction form
    539,580/791,874 = 791,874/x
  3. Step 3: Cross multiply
    539,580x = 791,874 × 791,874
  4. Step 4: Simplify right side
    539,580x = 627,064,431,876
  5. Step 5: Solve for x
    x = 627,064,431,876/539,580
  6. Step 6: Final answer
    x = 1,162,134.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.