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Finding the Third Proportional to 1,832,968 and 4,024,568

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Solution

The third proportional to 1,832,968 and 4,024,568 is: 8,836,568.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832,968 : 4,024,568 = 4,024,568 : x
  2. Step 2: Convert to fraction form
    1,832,968/4,024,568 = 4,024,568/x
  3. Step 3: Cross multiply
    1,832,968x = 4,024,568 × 4,024,568
  4. Step 4: Simplify right side
    1,832,968x = 16,197,147,586,624
  5. Step 5: Solve for x
    x = 16,197,147,586,624/1,832,968
  6. Step 6: Final answer
    x = 8,836,568.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.