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Finding the Third Proportional to 1,840,419 and 3,770,082

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Solution

The third proportional to 1,840,419 and 3,770,082 is: 7,722,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,419 : 3,770,082 = 3,770,082 : x
  2. Step 2: Convert to fraction form
    1,840,419/3,770,082 = 3,770,082/x
  3. Step 3: Cross multiply
    1,840,419x = 3,770,082 × 3,770,082
  4. Step 4: Simplify right side
    1,840,419x = 14,213,518,286,724
  5. Step 5: Solve for x
    x = 14,213,518,286,724/1,840,419
  6. Step 6: Final answer
    x = 7,722,979.54

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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.