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Finding the Third Proportional to 664,640 and 1,441,456

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Solution

The third proportional to 664,640 and 1,441,456 is: 3,126,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,640 : 1,441,456 = 1,441,456 : x
  2. Step 2: Convert to fraction form
    664,640/1,441,456 = 1,441,456/x
  3. Step 3: Cross multiply
    664,640x = 1,441,456 × 1,441,456
  4. Step 4: Simplify right side
    664,640x = 2,077,795,399,936
  5. Step 5: Solve for x
    x = 2,077,795,399,936/664,640
  6. Step 6: Final answer
    x = 3,126,196.74

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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.