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Finding the Third Proportional to 763,857 and 1,659,081

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Solution

The third proportional to 763,857 and 1,659,081 is: 3,603,488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,857 : 1,659,081 = 1,659,081 : x
  2. Step 2: Convert to fraction form
    763,857/1,659,081 = 1,659,081/x
  3. Step 3: Cross multiply
    763,857x = 1,659,081 × 1,659,081
  4. Step 4: Simplify right side
    763,857x = 2,752,549,764,561
  5. Step 5: Solve for x
    x = 2,752,549,764,561/763,857
  6. Step 6: Final answer
    x = 3,603,488.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.