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Finding the Third Proportional to 394,542 and 862,911

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Solution

The third proportional to 394,542 and 862,911 is: 1,887,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,542 : 862,911 = 862,911 : x
  2. Step 2: Convert to fraction form
    394,542/862,911 = 862,911/x
  3. Step 3: Cross multiply
    394,542x = 862,911 × 862,911
  4. Step 4: Simplify right side
    394,542x = 744,615,393,921
  5. Step 5: Solve for x
    x = 744,615,393,921/394,542
  6. Step 6: Final answer
    x = 1,887,290.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.