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Finding the Third Proportional to 446,260 and 981,093

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Solution

The third proportional to 446,260 and 981,093 is: 2,156,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,260 : 981,093 = 981,093 : x
  2. Step 2: Convert to fraction form
    446,260/981,093 = 981,093/x
  3. Step 3: Cross multiply
    446,260x = 981,093 × 981,093
  4. Step 4: Simplify right side
    446,260x = 962,543,474,649
  5. Step 5: Solve for x
    x = 962,543,474,649/446,260
  6. Step 6: Final answer
    x = 2,156,911.83

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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.