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Finding the Third Proportional to 2,824,832 and 6,019,227

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Solution

The third proportional to 2,824,832 and 6,019,227 is: 12,825,928.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824,832 : 6,019,227 = 6,019,227 : x
  2. Step 2: Convert to fraction form
    2,824,832/6,019,227 = 6,019,227/x
  3. Step 3: Cross multiply
    2,824,832x = 6,019,227 × 6,019,227
  4. Step 4: Simplify right side
    2,824,832x = 36,231,093,677,529
  5. Step 5: Solve for x
    x = 36,231,093,677,529/2,824,832
  6. Step 6: Final answer
    x = 12,825,928.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.