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Finding the Third Proportional to 446,320 and 981,092

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Solution

The third proportional to 446,320 and 981,092 is: 2,156,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,320 : 981,092 = 981,092 : x
  2. Step 2: Convert to fraction form
    446,320/981,092 = 981,092/x
  3. Step 3: Cross multiply
    446,320x = 981,092 × 981,092
  4. Step 4: Simplify right side
    446,320x = 962,541,512,464
  5. Step 5: Solve for x
    x = 962,541,512,464/446,320
  6. Step 6: Final answer
    x = 2,156,617.48

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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.