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Finding the Third Proportional to 446,328 and 981,108

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Solution

The third proportional to 446,328 and 981,108 is: 2,156,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,328 : 981,108 = 981,108 : x
  2. Step 2: Convert to fraction form
    446,328/981,108 = 981,108/x
  3. Step 3: Cross multiply
    446,328x = 981,108 × 981,108
  4. Step 4: Simplify right side
    446,328x = 962,572,907,664
  5. Step 5: Solve for x
    x = 962,572,907,664/446,328
  6. Step 6: Final answer
    x = 2,156,649.16

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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.