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Finding the Third Proportional to 433,932 and 944,976

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Solution

The third proportional to 433,932 and 944,976 is: 2,057,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,932 : 944,976 = 944,976 : x
  2. Step 2: Convert to fraction form
    433,932/944,976 = 944,976/x
  3. Step 3: Cross multiply
    433,932x = 944,976 × 944,976
  4. Step 4: Simplify right side
    433,932x = 892,979,640,576
  5. Step 5: Solve for x
    x = 892,979,640,576/433,932
  6. Step 6: Final answer
    x = 2,057,879.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.