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Finding the Third Proportional to 665,869 and 1,467,471

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Solution

The third proportional to 665,869 and 1,467,471 is: 3,234,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,869 : 1,467,471 = 1,467,471 : x
  2. Step 2: Convert to fraction form
    665,869/1,467,471 = 1,467,471/x
  3. Step 3: Cross multiply
    665,869x = 1,467,471 × 1,467,471
  4. Step 4: Simplify right side
    665,869x = 2,153,471,135,841
  5. Step 5: Solve for x
    x = 2,153,471,135,841/665,869
  6. Step 6: Final answer
    x = 3,234,076.28

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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.