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Finding the Third Proportional to 2,419,726 and 3,714,184

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Solution

The third proportional to 2,419,726 and 3,714,184 is: 5,701,125.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,726 : 3,714,184 = 3,714,184 : x
  2. Step 2: Convert to fraction form
    2,419,726/3,714,184 = 3,714,184/x
  3. Step 3: Cross multiply
    2,419,726x = 3,714,184 × 3,714,184
  4. Step 4: Simplify right side
    2,419,726x = 13,795,162,785,856
  5. Step 5: Solve for x
    x = 13,795,162,785,856/2,419,726
  6. Step 6: Final answer
    x = 5,701,125.99

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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.