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Finding the Third Proportional to 801,759.50 and 1,728,839.50

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Solution

The third proportional to 801,759.50 and 1,728,839.50 is: 3,727,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,759.50 : 1,728,839.50 = 1,728,839.50 : x
  2. Step 2: Convert to fraction form
    801,759.50/1,728,839.50 = 1,728,839.50/x
  3. Step 3: Cross multiply
    801,759.50x = 1,728,839.50 × 1,728,839.50
  4. Step 4: Simplify right side
    801,759.50x = 2,988,886,016,760.25
  5. Step 5: Solve for x
    x = 2,988,886,016,760.25/801,759.50
  6. Step 6: Final answer
    x = 3,727,908.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.