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Finding the Third Proportional to 446,265 and 981,105

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Solution

The third proportional to 446,265 and 981,105 is: 2,156,940.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,265 : 981,105 = 981,105 : x
  2. Step 2: Convert to fraction form
    446,265/981,105 = 981,105/x
  3. Step 3: Cross multiply
    446,265x = 981,105 × 981,105
  4. Step 4: Simplify right side
    446,265x = 962,567,021,025
  5. Step 5: Solve for x
    x = 962,567,021,025/446,265
  6. Step 6: Final answer
    x = 2,156,940.43

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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.