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Finding the Third Proportional to 467,544 and 1,022,568

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Solution

The third proportional to 467,544 and 1,022,568 is: 2,236,463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,544 : 1,022,568 = 1,022,568 : x
  2. Step 2: Convert to fraction form
    467,544/1,022,568 = 1,022,568/x
  3. Step 3: Cross multiply
    467,544x = 1,022,568 × 1,022,568
  4. Step 4: Simplify right side
    467,544x = 1,045,645,314,624
  5. Step 5: Solve for x
    x = 1,045,645,314,624/467,544
  6. Step 6: Final answer
    x = 2,236,463.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.