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Finding the Third Proportional to 1,162,469 and 2,463,225

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Solution

The third proportional to 1,162,469 and 2,463,225 is: 5,219,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,469 : 2,463,225 = 2,463,225 : x
  2. Step 2: Convert to fraction form
    1,162,469/2,463,225 = 2,463,225/x
  3. Step 3: Cross multiply
    1,162,469x = 2,463,225 × 2,463,225
  4. Step 4: Simplify right side
    1,162,469x = 6,067,477,400,625
  5. Step 5: Solve for x
    x = 6,067,477,400,625/1,162,469
  6. Step 6: Final answer
    x = 5,219,474.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.