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Finding the Third Proportional to 615,539 and 945,542

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Solution

The third proportional to 615,539 and 945,542 is: 1,452,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,539 : 945,542 = 945,542 : x
  2. Step 2: Convert to fraction form
    615,539/945,542 = 945,542/x
  3. Step 3: Cross multiply
    615,539x = 945,542 × 945,542
  4. Step 4: Simplify right side
    615,539x = 894,049,673,764
  5. Step 5: Solve for x
    x = 894,049,673,764/615,539
  6. Step 6: Final answer
    x = 1,452,466.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.