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Finding the Third Proportional to 2,419,713 and 3,714,163.88

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Solution

The third proportional to 2,419,713 and 3,714,163.88 is: 5,701,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,713 : 3,714,163.88 = 3,714,163.88 : x
  2. Step 2: Convert to fraction form
    2,419,713/3,714,163.88 = 3,714,163.88/x
  3. Step 3: Cross multiply
    2,419,713x = 3,714,163.88 × 3,714,163.88
  4. Step 4: Simplify right side
    2,419,713x = 13,795,013,290,355.02
  5. Step 5: Solve for x
    x = 13,795,013,290,355.02/2,419,713
  6. Step 6: Final answer
    x = 5,701,094.84

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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.