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Finding the Third Proportional to 1,188,274 and 2,474,467

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Solution

The third proportional to 1,188,274 and 2,474,467 is: 5,152,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188,274 : 2,474,467 = 2,474,467 : x
  2. Step 2: Convert to fraction form
    1,188,274/2,474,467 = 2,474,467/x
  3. Step 3: Cross multiply
    1,188,274x = 2,474,467 × 2,474,467
  4. Step 4: Simplify right side
    1,188,274x = 6,122,986,934,089
  5. Step 5: Solve for x
    x = 6,122,986,934,089/1,188,274
  6. Step 6: Final answer
    x = 5,152,840.96

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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.