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Finding the Third Proportional to 681,195 and 1,605,765

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Solution

The third proportional to 681,195 and 1,605,765 is: 3,785,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,195 : 1,605,765 = 1,605,765 : x
  2. Step 2: Convert to fraction form
    681,195/1,605,765 = 1,605,765/x
  3. Step 3: Cross multiply
    681,195x = 1,605,765 × 1,605,765
  4. Step 4: Simplify right side
    681,195x = 2,578,481,235,225
  5. Step 5: Solve for x
    x = 2,578,481,235,225/681,195
  6. Step 6: Final answer
    x = 3,785,232.18

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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.