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Finding the Third Proportional to 681,192 and 1,605,756

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Solution

The third proportional to 681,192 and 1,605,756 is: 3,785,206.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,192 : 1,605,756 = 1,605,756 : x
  2. Step 2: Convert to fraction form
    681,192/1,605,756 = 1,605,756/x
  3. Step 3: Cross multiply
    681,192x = 1,605,756 × 1,605,756
  4. Step 4: Simplify right side
    681,192x = 2,578,452,331,536
  5. Step 5: Solve for x
    x = 2,578,452,331,536/681,192
  6. Step 6: Final answer
    x = 3,785,206.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.