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Finding the Third Proportional to 981,184 and 2,172,212

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Solution

The third proportional to 981,184 and 2,172,212 is: 4,808,990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,184 : 2,172,212 = 2,172,212 : x
  2. Step 2: Convert to fraction form
    981,184/2,172,212 = 2,172,212/x
  3. Step 3: Cross multiply
    981,184x = 2,172,212 × 2,172,212
  4. Step 4: Simplify right side
    981,184x = 4,718,504,972,944
  5. Step 5: Solve for x
    x = 4,718,504,972,944/981,184
  6. Step 6: Final answer
    x = 4,808,990.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.