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Finding the Third Proportional to 446,472 and 981,836.44

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Solution

The third proportional to 446,472 and 981,836.44 is: 2,159,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,472 : 981,836.44 = 981,836.44 : x
  2. Step 2: Convert to fraction form
    446,472/981,836.44 = 981,836.44/x
  3. Step 3: Cross multiply
    446,472x = 981,836.44 × 981,836.44
  4. Step 4: Simplify right side
    446,472x = 964,002,790,002.69
  5. Step 5: Solve for x
    x = 964,002,790,002.69/446,472
  6. Step 6: Final answer
    x = 2,159,156.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.