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Finding the Third Proportional to 400,187 and 944,663

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Solution

The third proportional to 400,187 and 944,663 is: 2,229,927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,187 : 944,663 = 944,663 : x
  2. Step 2: Convert to fraction form
    400,187/944,663 = 944,663/x
  3. Step 3: Cross multiply
    400,187x = 944,663 × 944,663
  4. Step 4: Simplify right side
    400,187x = 892,388,183,569
  5. Step 5: Solve for x
    x = 892,388,183,569/400,187
  6. Step 6: Final answer
    x = 2,229,927.97

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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.