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Finding the Third Proportional to 665,860 and 1,467,456

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Solution

The third proportional to 665,860 and 1,467,456 is: 3,234,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,860 : 1,467,456 = 1,467,456 : x
  2. Step 2: Convert to fraction form
    665,860/1,467,456 = 1,467,456/x
  3. Step 3: Cross multiply
    665,860x = 1,467,456 × 1,467,456
  4. Step 4: Simplify right side
    665,860x = 2,153,427,111,936
  5. Step 5: Solve for x
    x = 2,153,427,111,936/665,860
  6. Step 6: Final answer
    x = 3,234,053.87

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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.