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Finding the Third Proportional to 665,845.31 and 1,467,418.78

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Solution

The third proportional to 665,845.31 and 1,467,418.78 is: 3,233,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,845.31 : 1,467,418.78 = 1,467,418.78 : x
  2. Step 2: Convert to fraction form
    665,845.31/1,467,418.78 = 1,467,418.78/x
  3. Step 3: Cross multiply
    665,845.31x = 1,467,418.78 × 1,467,418.78
  4. Step 4: Simplify right side
    665,845.31x = 2,153,317,879,565.24
  5. Step 5: Solve for x
    x = 2,153,317,879,565.24/665,845.31
  6. Step 6: Final answer
    x = 3,233,961.16

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Why These Related Problems?

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