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Finding the Third Proportional to 461,043 and 944,847

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Solution

The third proportional to 461,043 and 944,847 is: 1,936,339.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,043 : 944,847 = 944,847 : x
  2. Step 2: Convert to fraction form
    461,043/944,847 = 944,847/x
  3. Step 3: Cross multiply
    461,043x = 944,847 × 944,847
  4. Step 4: Simplify right side
    461,043x = 892,735,853,409
  5. Step 5: Solve for x
    x = 892,735,853,409/461,043
  6. Step 6: Final answer
    x = 1,936,339.68

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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.