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Finding the Third Proportional to 681,627 and 1,476,098

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Solution

The third proportional to 681,627 and 1,476,098 is: 3,196,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,627 : 1,476,098 = 1,476,098 : x
  2. Step 2: Convert to fraction form
    681,627/1,476,098 = 1,476,098/x
  3. Step 3: Cross multiply
    681,627x = 1,476,098 × 1,476,098
  4. Step 4: Simplify right side
    681,627x = 2,178,865,305,604
  5. Step 5: Solve for x
    x = 2,178,865,305,604/681,627
  6. Step 6: Final answer
    x = 3,196,565.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.