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Finding the Third Proportional to 981,776 and 2,150,932

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Solution

The third proportional to 981,776 and 2,150,932 is: 4,712,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,776 : 2,150,932 = 2,150,932 : x
  2. Step 2: Convert to fraction form
    981,776/2,150,932 = 2,150,932/x
  3. Step 3: Cross multiply
    981,776x = 2,150,932 × 2,150,932
  4. Step 4: Simplify right side
    981,776x = 4,626,508,468,624
  5. Step 5: Solve for x
    x = 4,626,508,468,624/981,776
  6. Step 6: Final answer
    x = 4,712,387.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.