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Finding the Third Proportional to 1,500,614.25 and 2,327,091.75

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Solution

The third proportional to 1,500,614.25 and 2,327,091.75 is: 3,608,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,614.25 : 2,327,091.75 = 2,327,091.75 : x
  2. Step 2: Convert to fraction form
    1,500,614.25/2,327,091.75 = 2,327,091.75/x
  3. Step 3: Cross multiply
    1,500,614.25x = 2,327,091.75 × 2,327,091.75
  4. Step 4: Simplify right side
    1,500,614.25x = 5,415,356,012,918.06
  5. Step 5: Solve for x
    x = 5,415,356,012,918.06/1,500,614.25
  6. Step 6: Final answer
    x = 3,608,759.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.