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Finding the Third Proportional to 686,204 and 1,512,016

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Solution

The third proportional to 686,204 and 1,512,016 is: 3,331,651.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,204 : 1,512,016 = 1,512,016 : x
  2. Step 2: Convert to fraction form
    686,204/1,512,016 = 1,512,016/x
  3. Step 3: Cross multiply
    686,204x = 1,512,016 × 1,512,016
  4. Step 4: Simplify right side
    686,204x = 2,286,192,384,256
  5. Step 5: Solve for x
    x = 2,286,192,384,256/686,204
  6. Step 6: Final answer
    x = 3,331,651.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.