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Finding the Third Proportional to 681,194 and 1,605,761

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Solution

The third proportional to 681,194 and 1,605,761 is: 3,785,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,194 : 1,605,761 = 1,605,761 : x
  2. Step 2: Convert to fraction form
    681,194/1,605,761 = 1,605,761/x
  3. Step 3: Cross multiply
    681,194x = 1,605,761 × 1,605,761
  4. Step 4: Simplify right side
    681,194x = 2,578,468,389,121
  5. Step 5: Solve for x
    x = 2,578,468,389,121/681,194
  6. Step 6: Final answer
    x = 3,785,218.88

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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.