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Finding the Third Proportional to 1,840,478 and 3,770,194

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Solution

The third proportional to 1,840,478 and 3,770,194 is: 7,723,190.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,478 : 3,770,194 = 3,770,194 : x
  2. Step 2: Convert to fraction form
    1,840,478/3,770,194 = 3,770,194/x
  3. Step 3: Cross multiply
    1,840,478x = 3,770,194 × 3,770,194
  4. Step 4: Simplify right side
    1,840,478x = 14,214,362,797,636
  5. Step 5: Solve for x
    x = 14,214,362,797,636/1,840,478
  6. Step 6: Final answer
    x = 7,723,190.82

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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.