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Finding the Third Proportional to 461,041 and 944,843

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Solution

The third proportional to 461,041 and 944,843 is: 1,936,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,041 : 944,843 = 944,843 : x
  2. Step 2: Convert to fraction form
    461,041/944,843 = 944,843/x
  3. Step 3: Cross multiply
    461,041x = 944,843 × 944,843
  4. Step 4: Simplify right side
    461,041x = 892,728,294,649
  5. Step 5: Solve for x
    x = 892,728,294,649/461,041
  6. Step 6: Final answer
    x = 1,936,331.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.