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Finding the Third Proportional to 2,335,414 and 3,519,823

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Solution

The third proportional to 2,335,414 and 3,519,823 is: 5,304,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335,414 : 3,519,823 = 3,519,823 : x
  2. Step 2: Convert to fraction form
    2,335,414/3,519,823 = 3,519,823/x
  3. Step 3: Cross multiply
    2,335,414x = 3,519,823 × 3,519,823
  4. Step 4: Simplify right side
    2,335,414x = 12,389,153,951,329
  5. Step 5: Solve for x
    x = 12,389,153,951,329/2,335,414
  6. Step 6: Final answer
    x = 5,304,906.95

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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.