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Finding the Third Proportional to 2,210,120 and 3,412,812

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Solution

The third proportional to 2,210,120 and 3,412,812 is: 5,269,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210,120 : 3,412,812 = 3,412,812 : x
  2. Step 2: Convert to fraction form
    2,210,120/3,412,812 = 3,412,812/x
  3. Step 3: Cross multiply
    2,210,120x = 3,412,812 × 3,412,812
  4. Step 4: Simplify right side
    2,210,120x = 11,647,285,747,344
  5. Step 5: Solve for x
    x = 11,647,285,747,344/2,210,120
  6. Step 6: Final answer
    x = 5,269,978.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.