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Finding the Third Proportional to 400,041 and 944,334

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Solution

The third proportional to 400,041 and 944,334 is: 2,229,188.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,041 : 944,334 = 944,334 : x
  2. Step 2: Convert to fraction form
    400,041/944,334 = 944,334/x
  3. Step 3: Cross multiply
    400,041x = 944,334 × 944,334
  4. Step 4: Simplify right side
    400,041x = 891,766,703,556
  5. Step 5: Solve for x
    x = 891,766,703,556/400,041
  6. Step 6: Final answer
    x = 2,229,188.27

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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.