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Finding the Third Proportional to 2,419,728 and 3,714,188

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Solution

The third proportional to 2,419,728 and 3,714,188 is: 5,701,133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,728 : 3,714,188 = 3,714,188 : x
  2. Step 2: Convert to fraction form
    2,419,728/3,714,188 = 3,714,188/x
  3. Step 3: Cross multiply
    2,419,728x = 3,714,188 × 3,714,188
  4. Step 4: Simplify right side
    2,419,728x = 13,795,192,499,344
  5. Step 5: Solve for x
    x = 13,795,192,499,344/2,419,728
  6. Step 6: Final answer
    x = 5,701,133.56

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Why These Related Problems?

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