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Finding the Third Proportional to 1,728,072 and 3,770,568

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Solution

The third proportional to 1,728,072 and 3,770,568 is: 8,227,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,072 : 3,770,568 = 3,770,568 : x
  2. Step 2: Convert to fraction form
    1,728,072/3,770,568 = 3,770,568/x
  3. Step 3: Cross multiply
    1,728,072x = 3,770,568 × 3,770,568
  4. Step 4: Simplify right side
    1,728,072x = 14,217,183,042,624
  5. Step 5: Solve for x
    x = 14,217,183,042,624/1,728,072
  6. Step 6: Final answer
    x = 8,227,193.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.