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Finding the Third Proportional to 2,936,024 and 6,449,414

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Solution

The third proportional to 2,936,024 and 6,449,414 is: 14,167,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936,024 : 6,449,414 = 6,449,414 : x
  2. Step 2: Convert to fraction form
    2,936,024/6,449,414 = 6,449,414/x
  3. Step 3: Cross multiply
    2,936,024x = 6,449,414 × 6,449,414
  4. Step 4: Simplify right side
    2,936,024x = 41,594,940,943,396
  5. Step 5: Solve for x
    x = 41,594,940,943,396/2,936,024
  6. Step 6: Final answer
    x = 14,167,098.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.