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Finding the Third Proportional to 664,692 and 1,462,296

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Solution

The third proportional to 664,692 and 1,462,296 is: 3,216,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,692 : 1,462,296 = 1,462,296 : x
  2. Step 2: Convert to fraction form
    664,692/1,462,296 = 1,462,296/x
  3. Step 3: Cross multiply
    664,692x = 1,462,296 × 1,462,296
  4. Step 4: Simplify right side
    664,692x = 2,138,309,591,616
  5. Step 5: Solve for x
    x = 2,138,309,591,616/664,692
  6. Step 6: Final answer
    x = 3,216,993.12

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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.