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Finding the Third Proportional to 1,661,026.50 and 2,375,250.75

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Solution

The third proportional to 1,661,026.50 and 2,375,250.75 is: 3,396,584.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,661,026.50 : 2,375,250.75 = 2,375,250.75 : x
  2. Step 2: Convert to fraction form
    1,661,026.50/2,375,250.75 = 2,375,250.75/x
  3. Step 3: Cross multiply
    1,661,026.50x = 2,375,250.75 × 2,375,250.75
  4. Step 4: Simplify right side
    1,661,026.50x = 5,641,816,125,375.56
  5. Step 5: Solve for x
    x = 5,641,816,125,375.56/1,661,026.50
  6. Step 6: Final answer
    x = 3,396,584.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.