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Finding the Third Proportional to 681,186.75 and 1,605,747.75

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Solution

The third proportional to 681,186.75 and 1,605,747.75 is: 3,785,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,186.75 : 1,605,747.75 = 1,605,747.75 : x
  2. Step 2: Convert to fraction form
    681,186.75/1,605,747.75 = 1,605,747.75/x
  3. Step 3: Cross multiply
    681,186.75x = 1,605,747.75 × 1,605,747.75
  4. Step 4: Simplify right side
    681,186.75x = 2,578,425,836,630.06
  5. Step 5: Solve for x
    x = 2,578,425,836,630.06/681,186.75
  6. Step 6: Final answer
    x = 3,785,196.70

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