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Finding the Third Proportional to 2,061,414 and 3,082,644

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Solution

The third proportional to 2,061,414 and 3,082,644 is: 4,609,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061,414 : 3,082,644 = 3,082,644 : x
  2. Step 2: Convert to fraction form
    2,061,414/3,082,644 = 3,082,644/x
  3. Step 3: Cross multiply
    2,061,414x = 3,082,644 × 3,082,644
  4. Step 4: Simplify right side
    2,061,414x = 9,502,694,030,736
  5. Step 5: Solve for x
    x = 9,502,694,030,736/2,061,414
  6. Step 6: Final answer
    x = 4,609,794.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.