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Finding the Third Proportional to 408,059 and 959,819

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Solution

The third proportional to 408,059 and 959,819 is: 2,257,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,059 : 959,819 = 959,819 : x
  2. Step 2: Convert to fraction form
    408,059/959,819 = 959,819/x
  3. Step 3: Cross multiply
    408,059x = 959,819 × 959,819
  4. Step 4: Simplify right side
    408,059x = 921,252,512,761
  5. Step 5: Solve for x
    x = 921,252,512,761/408,059
  6. Step 6: Final answer
    x = 2,257,645.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.