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Finding the Third Proportional to 2,081,832 and 3,105,481

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Solution

The third proportional to 2,081,832 and 3,105,481 is: 4,632,464.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,832 : 3,105,481 = 3,105,481 : x
  2. Step 2: Convert to fraction form
    2,081,832/3,105,481 = 3,105,481/x
  3. Step 3: Cross multiply
    2,081,832x = 3,105,481 × 3,105,481
  4. Step 4: Simplify right side
    2,081,832x = 9,644,012,241,361
  5. Step 5: Solve for x
    x = 9,644,012,241,361/2,081,832
  6. Step 6: Final answer
    x = 4,632,464.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.