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Finding the Third Proportional to 1,462,576 and 2,232,744

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Solution

The third proportional to 1,462,576 and 2,232,744 is: 3,408,469.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462,576 : 2,232,744 = 2,232,744 : x
  2. Step 2: Convert to fraction form
    1,462,576/2,232,744 = 2,232,744/x
  3. Step 3: Cross multiply
    1,462,576x = 2,232,744 × 2,232,744
  4. Step 4: Simplify right side
    1,462,576x = 4,985,145,769,536
  5. Step 5: Solve for x
    x = 4,985,145,769,536/1,462,576
  6. Step 6: Final answer
    x = 3,408,469.56

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.