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Finding the Third Proportional to 664,147.50 and 1,467,846

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Solution

The third proportional to 664,147.50 and 1,467,846 is: 3,244,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,147.50 : 1,467,846 = 1,467,846 : x
  2. Step 2: Convert to fraction form
    664,147.50/1,467,846 = 1,467,846/x
  3. Step 3: Cross multiply
    664,147.50x = 1,467,846 × 1,467,846
  4. Step 4: Simplify right side
    664,147.50x = 2,154,571,879,716
  5. Step 5: Solve for x
    x = 2,154,571,879,716/664,147.50
  6. Step 6: Final answer
    x = 3,244,116.52

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.