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Finding the Third Proportional to 539,626 and 791,943

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Solution

The third proportional to 539,626 and 791,943 is: 1,162,237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,626 : 791,943 = 791,943 : x
  2. Step 2: Convert to fraction form
    539,626/791,943 = 791,943/x
  3. Step 3: Cross multiply
    539,626x = 791,943 × 791,943
  4. Step 4: Simplify right side
    539,626x = 627,173,715,249
  5. Step 5: Solve for x
    x = 627,173,715,249/539,626
  6. Step 6: Final answer
    x = 1,162,237.76

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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.