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Finding the Third Proportional to 400,196 and 944,687

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Solution

The third proportional to 400,196 and 944,687 is: 2,229,991.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,196 : 944,687 = 944,687 : x
  2. Step 2: Convert to fraction form
    400,196/944,687 = 944,687/x
  3. Step 3: Cross multiply
    400,196x = 944,687 × 944,687
  4. Step 4: Simplify right side
    400,196x = 892,433,527,969
  5. Step 5: Solve for x
    x = 892,433,527,969/400,196
  6. Step 6: Final answer
    x = 2,229,991.12

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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.