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Finding the Third Proportional to 681,760 and 1,468,160

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Solution

The third proportional to 681,760 and 1,468,160 is: 3,161,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,760 : 1,468,160 = 1,468,160 : x
  2. Step 2: Convert to fraction form
    681,760/1,468,160 = 1,468,160/x
  3. Step 3: Cross multiply
    681,760x = 1,468,160 × 1,468,160
  4. Step 4: Simplify right side
    681,760x = 2,155,493,785,600
  5. Step 5: Solve for x
    x = 2,155,493,785,600/681,760
  6. Step 6: Final answer
    x = 3,161,660.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.