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Finding the Third Proportional to 664,636 and 1,441,448

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Solution

The third proportional to 664,636 and 1,441,448 is: 3,126,180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,636 : 1,441,448 = 1,441,448 : x
  2. Step 2: Convert to fraction form
    664,636/1,441,448 = 1,441,448/x
  3. Step 3: Cross multiply
    664,636x = 1,441,448 × 1,441,448
  4. Step 4: Simplify right side
    664,636x = 2,077,772,336,704
  5. Step 5: Solve for x
    x = 2,077,772,336,704/664,636
  6. Step 6: Final answer
    x = 3,126,180.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.