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Finding the Third Proportional to 2,184,848 and 3,419,884

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Solution

The third proportional to 2,184,848 and 3,419,884 is: 5,353,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184,848 : 3,419,884 = 3,419,884 : x
  2. Step 2: Convert to fraction form
    2,184,848/3,419,884 = 3,419,884/x
  3. Step 3: Cross multiply
    2,184,848x = 3,419,884 × 3,419,884
  4. Step 4: Simplify right side
    2,184,848x = 11,695,606,573,456
  5. Step 5: Solve for x
    x = 11,695,606,573,456/2,184,848
  6. Step 6: Final answer
    x = 5,353,052.74

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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.