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Finding the Third Proportional to 981,408 and 2,004,096

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Solution

The third proportional to 981,408 and 2,004,096 is: 4,092,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,408 : 2,004,096 = 2,004,096 : x
  2. Step 2: Convert to fraction form
    981,408/2,004,096 = 2,004,096/x
  3. Step 3: Cross multiply
    981,408x = 2,004,096 × 2,004,096
  4. Step 4: Simplify right side
    981,408x = 4,016,400,777,216
  5. Step 5: Solve for x
    x = 4,016,400,777,216/981,408
  6. Step 6: Final answer
    x = 4,092,488.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.