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Finding the Third Proportional to 664,695 and 1,449,693

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Solution

The third proportional to 664,695 and 1,449,693 is: 3,161,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,695 : 1,449,693 = 1,449,693 : x
  2. Step 2: Convert to fraction form
    664,695/1,449,693 = 1,449,693/x
  3. Step 3: Cross multiply
    664,695x = 1,449,693 × 1,449,693
  4. Step 4: Simplify right side
    664,695x = 2,101,609,794,249
  5. Step 5: Solve for x
    x = 2,101,609,794,249/664,695
  6. Step 6: Final answer
    x = 3,161,765.61

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Why These Related Problems?

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