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Finding the Third Proportional to 400,164 and 944,609

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Solution

The third proportional to 400,164 and 944,609 is: 2,229,801.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,164 : 944,609 = 944,609 : x
  2. Step 2: Convert to fraction form
    400,164/944,609 = 944,609/x
  3. Step 3: Cross multiply
    400,164x = 944,609 × 944,609
  4. Step 4: Simplify right side
    400,164x = 892,286,162,881
  5. Step 5: Solve for x
    x = 892,286,162,881/400,164
  6. Step 6: Final answer
    x = 2,229,801.19

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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.