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Finding the Third Proportional to 2,949,940 and 6,419,020

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Solution

The third proportional to 2,949,940 and 6,419,020 is: 13,967,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,940 : 6,419,020 = 6,419,020 : x
  2. Step 2: Convert to fraction form
    2,949,940/6,419,020 = 6,419,020/x
  3. Step 3: Cross multiply
    2,949,940x = 6,419,020 × 6,419,020
  4. Step 4: Simplify right side
    2,949,940x = 41,203,817,760,400
  5. Step 5: Solve for x
    x = 41,203,817,760,400/2,949,940
  6. Step 6: Final answer
    x = 13,967,679.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.