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Finding the Third Proportional to 2,184,426 and 3,419,199

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Solution

The third proportional to 2,184,426 and 3,419,199 is: 5,351,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,426 : 3,419,199 = 3,419,199 : x
  2. Step 2: Convert to fraction form
    2,184,426/3,419,199 = 3,419,199/x
  3. Step 3: Cross multiply
    2,184,426x = 3,419,199 × 3,419,199
  4. Step 4: Simplify right side
    2,184,426x = 11,690,921,801,601
  5. Step 5: Solve for x
    x = 11,690,921,801,601/2,184,426
  6. Step 6: Final answer
    x = 5,351,942.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.