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Finding the Third Proportional to 681,204 and 1,480,560

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Solution

The third proportional to 681,204 and 1,480,560 is: 3,217,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,204 : 1,480,560 = 1,480,560 : x
  2. Step 2: Convert to fraction form
    681,204/1,480,560 = 1,480,560/x
  3. Step 3: Cross multiply
    681,204x = 1,480,560 × 1,480,560
  4. Step 4: Simplify right side
    681,204x = 2,192,057,913,600
  5. Step 5: Solve for x
    x = 2,192,057,913,600/681,204
  6. Step 6: Final answer
    x = 3,217,916.97

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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.