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Finding the Third Proportional to 446,265 and 981,102

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Solution

The third proportional to 446,265 and 981,102 is: 2,156,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,265 : 981,102 = 981,102 : x
  2. Step 2: Convert to fraction form
    446,265/981,102 = 981,102/x
  3. Step 3: Cross multiply
    446,265x = 981,102 × 981,102
  4. Step 4: Simplify right side
    446,265x = 962,561,134,404
  5. Step 5: Solve for x
    x = 962,561,134,404/446,265
  6. Step 6: Final answer
    x = 2,156,927.24

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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.