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Finding the Third Proportional to 981,171 and 2,081,210

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Solution

The third proportional to 981,171 and 2,081,210 is: 4,414,556.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,171 : 2,081,210 = 2,081,210 : x
  2. Step 2: Convert to fraction form
    981,171/2,081,210 = 2,081,210/x
  3. Step 3: Cross multiply
    981,171x = 2,081,210 × 2,081,210
  4. Step 4: Simplify right side
    981,171x = 4,331,435,064,100
  5. Step 5: Solve for x
    x = 4,331,435,064,100/981,171
  6. Step 6: Final answer
    x = 4,414,556.75

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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.