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Finding the Third Proportional to 969,192 and 1,986,741

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Solution

The third proportional to 969,192 and 1,986,741 is: 4,072,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,192 : 1,986,741 = 1,986,741 : x
  2. Step 2: Convert to fraction form
    969,192/1,986,741 = 1,986,741/x
  3. Step 3: Cross multiply
    969,192x = 1,986,741 × 1,986,741
  4. Step 4: Simplify right side
    969,192x = 3,947,139,801,081
  5. Step 5: Solve for x
    x = 3,947,139,801,081/969,192
  6. Step 6: Final answer
    x = 4,072,608.73

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.