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Finding the Third Proportional to 681,972 and 1,048,542

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Solution

The third proportional to 681,972 and 1,048,542 is: 1,612,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,972 : 1,048,542 = 1,048,542 : x
  2. Step 2: Convert to fraction form
    681,972/1,048,542 = 1,048,542/x
  3. Step 3: Cross multiply
    681,972x = 1,048,542 × 1,048,542
  4. Step 4: Simplify right side
    681,972x = 1,099,440,325,764
  5. Step 5: Solve for x
    x = 1,099,440,325,764/681,972
  6. Step 6: Final answer
    x = 1,612,148.78

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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.