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Finding the Third Proportional to 761,874 and 1,659,204

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Solution

The third proportional to 761,874 and 1,659,204 is: 3,613,403.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,874 : 1,659,204 = 1,659,204 : x
  2. Step 2: Convert to fraction form
    761,874/1,659,204 = 1,659,204/x
  3. Step 3: Cross multiply
    761,874x = 1,659,204 × 1,659,204
  4. Step 4: Simplify right side
    761,874x = 2,752,957,913,616
  5. Step 5: Solve for x
    x = 2,752,957,913,616/761,874
  6. Step 6: Final answer
    x = 3,613,403.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.