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Finding the Third Proportional to 2,069,198 and 3,192,366

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Solution

The third proportional to 2,069,198 and 3,192,366 is: 4,925,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069,198 : 3,192,366 = 3,192,366 : x
  2. Step 2: Convert to fraction form
    2,069,198/3,192,366 = 3,192,366/x
  3. Step 3: Cross multiply
    2,069,198x = 3,192,366 × 3,192,366
  4. Step 4: Simplify right side
    2,069,198x = 10,191,200,677,956
  5. Step 5: Solve for x
    x = 10,191,200,677,956/2,069,198
  6. Step 6: Final answer
    x = 4,925,193.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.