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Finding the Third Proportional to 681,601.50 and 1,433,706.75

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Solution

The third proportional to 681,601.50 and 1,433,706.75 is: 3,015,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,601.50 : 1,433,706.75 = 1,433,706.75 : x
  2. Step 2: Convert to fraction form
    681,601.50/1,433,706.75 = 1,433,706.75/x
  3. Step 3: Cross multiply
    681,601.50x = 1,433,706.75 × 1,433,706.75
  4. Step 4: Simplify right side
    681,601.50x = 2,055,515,044,995.56
  5. Step 5: Solve for x
    x = 2,055,515,044,995.56/681,601.50
  6. Step 6: Final answer
    x = 3,015,713.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.