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Finding the Third Proportional to 681,189.75 and 1,605,754.13

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Solution

The third proportional to 681,189.75 and 1,605,754.13 is: 3,785,210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,189.75 : 1,605,754.13 = 1,605,754.13 : x
  2. Step 2: Convert to fraction form
    681,189.75/1,605,754.13 = 1,605,754.13/x
  3. Step 3: Cross multiply
    681,189.75x = 1,605,754.13 × 1,605,754.13
  4. Step 4: Simplify right side
    681,189.75x = 2,578,446,309,954.52
  5. Step 5: Solve for x
    x = 2,578,446,309,954.52/681,189.75
  6. Step 6: Final answer
    x = 3,785,210.08

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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.