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Finding the Third Proportional to 446,438.81 and 981,451.13

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Solution

The third proportional to 446,438.81 and 981,451.13 is: 2,157,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,438.81 : 981,451.13 = 981,451.13 : x
  2. Step 2: Convert to fraction form
    446,438.81/981,451.13 = 981,451.13/x
  3. Step 3: Cross multiply
    446,438.81x = 981,451.13 × 981,451.13
  4. Step 4: Simplify right side
    446,438.81x = 963,246,310,763.77
  5. Step 5: Solve for x
    x = 963,246,310,763.77/446,438.81
  6. Step 6: Final answer
    x = 2,157,622.24

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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.