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Finding the Third Proportional to 664,646 and 1,441,468

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Solution

The third proportional to 664,646 and 1,441,468 is: 3,126,220.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,646 : 1,441,468 = 1,441,468 : x
  2. Step 2: Convert to fraction form
    664,646/1,441,468 = 1,441,468/x
  3. Step 3: Cross multiply
    664,646x = 1,441,468 × 1,441,468
  4. Step 4: Simplify right side
    664,646x = 2,077,829,995,024
  5. Step 5: Solve for x
    x = 2,077,829,995,024/664,646
  6. Step 6: Final answer
    x = 3,126,220.57

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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.