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Finding the Third Proportional to 2,481,652 and 3,743,214

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Solution

The third proportional to 2,481,652 and 3,743,214 is: 5,646,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481,652 : 3,743,214 = 3,743,214 : x
  2. Step 2: Convert to fraction form
    2,481,652/3,743,214 = 3,743,214/x
  3. Step 3: Cross multiply
    2,481,652x = 3,743,214 × 3,743,214
  4. Step 4: Simplify right side
    2,481,652x = 14,011,651,049,796
  5. Step 5: Solve for x
    x = 14,011,651,049,796/2,481,652
  6. Step 6: Final answer
    x = 5,646,098.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.