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Finding the Third Proportional to 1,188,264 and 2,474,448

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Solution

The third proportional to 1,188,264 and 2,474,448 is: 5,152,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,264 : 2,474,448 = 2,474,448 : x
  2. Step 2: Convert to fraction form
    1,188,264/2,474,448 = 2,474,448/x
  3. Step 3: Cross multiply
    1,188,264x = 2,474,448 × 2,474,448
  4. Step 4: Simplify right side
    1,188,264x = 6,122,892,904,704
  5. Step 5: Solve for x
    x = 6,122,892,904,704/1,188,264
  6. Step 6: Final answer
    x = 5,152,805.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.