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Finding the Third Proportional to 2,419,698 and 3,714,141

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Solution

The third proportional to 2,419,698 and 3,714,141 is: 5,701,059.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,698 : 3,714,141 = 3,714,141 : x
  2. Step 2: Convert to fraction form
    2,419,698/3,714,141 = 3,714,141/x
  3. Step 3: Cross multiply
    2,419,698x = 3,714,141 × 3,714,141
  4. Step 4: Simplify right side
    2,419,698x = 13,794,843,367,881
  5. Step 5: Solve for x
    x = 13,794,843,367,881/2,419,698
  6. Step 6: Final answer
    x = 5,701,059.95

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