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Finding the Third Proportional to 659,910 and 1,438,296

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Solution

The third proportional to 659,910 and 1,438,296 is: 3,134,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,910 : 1,438,296 = 1,438,296 : x
  2. Step 2: Convert to fraction form
    659,910/1,438,296 = 1,438,296/x
  3. Step 3: Cross multiply
    659,910x = 1,438,296 × 1,438,296
  4. Step 4: Simplify right side
    659,910x = 2,068,695,383,616
  5. Step 5: Solve for x
    x = 2,068,695,383,616/659,910
  6. Step 6: Final answer
    x = 3,134,814.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.