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Finding the Third Proportional to 767,566 and 1,204,027

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Solution

The third proportional to 767,566 and 1,204,027 is: 1,888,672.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,566 : 1,204,027 = 1,204,027 : x
  2. Step 2: Convert to fraction form
    767,566/1,204,027 = 1,204,027/x
  3. Step 3: Cross multiply
    767,566x = 1,204,027 × 1,204,027
  4. Step 4: Simplify right side
    767,566x = 1,449,681,016,729
  5. Step 5: Solve for x
    x = 1,449,681,016,729/767,566
  6. Step 6: Final answer
    x = 1,888,672.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.