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Finding the Third Proportional to 971,252 and 1,981,042

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Solution

The third proportional to 971,252 and 1,981,042 is: 4,040,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,252 : 1,981,042 = 1,981,042 : x
  2. Step 2: Convert to fraction form
    971,252/1,981,042 = 1,981,042/x
  3. Step 3: Cross multiply
    971,252x = 1,981,042 × 1,981,042
  4. Step 4: Simplify right side
    971,252x = 3,924,527,405,764
  5. Step 5: Solve for x
    x = 3,924,527,405,764/971,252
  6. Step 6: Final answer
    x = 4,040,689.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.