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Finding the Third Proportional to 637,819.31 and 919,002.38

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Solution

The third proportional to 637,819.31 and 919,002.38 is: 1,324,145.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,819.31 : 919,002.38 = 919,002.38 : x
  2. Step 2: Convert to fraction form
    637,819.31/919,002.38 = 919,002.38/x
  3. Step 3: Cross multiply
    637,819.31x = 919,002.38 × 919,002.38
  4. Step 4: Simplify right side
    637,819.31x = 844,565,365,255.64
  5. Step 5: Solve for x
    x = 844,565,365,255.64/637,819.31
  6. Step 6: Final answer
    x = 1,324,145.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.