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Finding the Third Proportional to 618,086 and 1,283,542

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Solution

The third proportional to 618,086 and 1,283,542 is: 2,665,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,086 : 1,283,542 = 1,283,542 : x
  2. Step 2: Convert to fraction form
    618,086/1,283,542 = 1,283,542/x
  3. Step 3: Cross multiply
    618,086x = 1,283,542 × 1,283,542
  4. Step 4: Simplify right side
    618,086x = 1,647,480,065,764
  5. Step 5: Solve for x
    x = 1,647,480,065,764/618,086
  6. Step 6: Final answer
    x = 2,665,454.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.