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Finding the Third Proportional to 664,729 and 1,449,752

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Solution

The third proportional to 664,729 and 1,449,752 is: 3,161,861.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,729 : 1,449,752 = 1,449,752 : x
  2. Step 2: Convert to fraction form
    664,729/1,449,752 = 1,449,752/x
  3. Step 3: Cross multiply
    664,729x = 1,449,752 × 1,449,752
  4. Step 4: Simplify right side
    664,729x = 2,101,780,861,504
  5. Step 5: Solve for x
    x = 2,101,780,861,504/664,729
  6. Step 6: Final answer
    x = 3,161,861.24

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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.