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Finding the Third Proportional to 446,288 and 981,028

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Solution

The third proportional to 446,288 and 981,028 is: 2,156,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,288 : 981,028 = 981,028 : x
  2. Step 2: Convert to fraction form
    446,288/981,028 = 981,028/x
  3. Step 3: Cross multiply
    446,288x = 981,028 × 981,028
  4. Step 4: Simplify right side
    446,288x = 962,415,936,784
  5. Step 5: Solve for x
    x = 962,415,936,784/446,288
  6. Step 6: Final answer
    x = 2,156,490.73

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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.