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Finding the Third Proportional to 981,169.45 and 2,081,205.77

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Solution

The third proportional to 981,169.45 and 2,081,205.77 is: 4,414,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,169.45 : 2,081,205.77 = 2,081,205.77 : x
  2. Step 2: Convert to fraction form
    981,169.45/2,081,205.77 = 2,081,205.77/x
  3. Step 3: Cross multiply
    981,169.45x = 2,081,205.77 × 2,081,205.77
  4. Step 4: Simplify right side
    981,169.45x = 4,331,417,471,389.58
  5. Step 5: Solve for x
    x = 4,331,417,471,389.58/981,169.45
  6. Step 6: Final answer
    x = 4,414,545.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.