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Finding the Third Proportional to 400,180 and 944,640

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Solution

The third proportional to 400,180 and 944,640 is: 2,229,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,180 : 944,640 = 944,640 : x
  2. Step 2: Convert to fraction form
    400,180/944,640 = 944,640/x
  3. Step 3: Cross multiply
    400,180x = 944,640 × 944,640
  4. Step 4: Simplify right side
    400,180x = 892,344,729,600
  5. Step 5: Solve for x
    x = 892,344,729,600/400,180
  6. Step 6: Final answer
    x = 2,229,858.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.