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Finding the Third Proportional to 981,675 and 1,440,198

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Solution

The third proportional to 981,675 and 1,440,198 is: 2,112,888.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,675 : 1,440,198 = 1,440,198 : x
  2. Step 2: Convert to fraction form
    981,675/1,440,198 = 1,440,198/x
  3. Step 3: Cross multiply
    981,675x = 1,440,198 × 1,440,198
  4. Step 4: Simplify right side
    981,675x = 2,074,170,279,204
  5. Step 5: Solve for x
    x = 2,074,170,279,204/981,675
  6. Step 6: Final answer
    x = 2,112,888.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.