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Finding the Third Proportional to 1,302,978 and 1,993,216

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Solution

The third proportional to 1,302,978 and 1,993,216 is: 3,049,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302,978 : 1,993,216 = 1,993,216 : x
  2. Step 2: Convert to fraction form
    1,302,978/1,993,216 = 1,993,216/x
  3. Step 3: Cross multiply
    1,302,978x = 1,993,216 × 1,993,216
  4. Step 4: Simplify right side
    1,302,978x = 3,972,910,022,656
  5. Step 5: Solve for x
    x = 3,972,910,022,656/1,302,978
  6. Step 6: Final answer
    x = 3,049,099.85

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.