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Finding the Third Proportional to 681,072.50 and 1,481,857.75

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Solution

The third proportional to 681,072.50 and 1,481,857.75 is: 3,224,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,072.50 : 1,481,857.75 = 1,481,857.75 : x
  2. Step 2: Convert to fraction form
    681,072.50/1,481,857.75 = 1,481,857.75/x
  3. Step 3: Cross multiply
    681,072.50x = 1,481,857.75 × 1,481,857.75
  4. Step 4: Simplify right side
    681,072.50x = 2,195,902,391,235.06
  5. Step 5: Solve for x
    x = 2,195,902,391,235.06/681,072.50
  6. Step 6: Final answer
    x = 3,224,183.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.