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Finding the Third Proportional to 665,864 and 1,467,464

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Solution

The third proportional to 665,864 and 1,467,464 is: 3,234,069.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,864 : 1,467,464 = 1,467,464 : x
  2. Step 2: Convert to fraction form
    665,864/1,467,464 = 1,467,464/x
  3. Step 3: Cross multiply
    665,864x = 1,467,464 × 1,467,464
  4. Step 4: Simplify right side
    665,864x = 2,153,450,591,296
  5. Step 5: Solve for x
    x = 2,153,450,591,296/665,864
  6. Step 6: Final answer
    x = 3,234,069.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.