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Finding the Third Proportional to 981,690 and 1,508,418

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Solution

The third proportional to 981,690 and 1,508,418 is: 2,317,763.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,690 : 1,508,418 = 1,508,418 : x
  2. Step 2: Convert to fraction form
    981,690/1,508,418 = 1,508,418/x
  3. Step 3: Cross multiply
    981,690x = 1,508,418 × 1,508,418
  4. Step 4: Simplify right side
    981,690x = 2,275,324,862,724
  5. Step 5: Solve for x
    x = 2,275,324,862,724/981,690
  6. Step 6: Final answer
    x = 2,317,763.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.