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Finding the Third Proportional to 2,509,872 and 3,878,172

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Solution

The third proportional to 2,509,872 and 3,878,172 is: 5,992,424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509,872 : 3,878,172 = 3,878,172 : x
  2. Step 2: Convert to fraction form
    2,509,872/3,878,172 = 3,878,172/x
  3. Step 3: Cross multiply
    2,509,872x = 3,878,172 × 3,878,172
  4. Step 4: Simplify right side
    2,509,872x = 15,040,218,061,584
  5. Step 5: Solve for x
    x = 15,040,218,061,584/2,509,872
  6. Step 6: Final answer
    x = 5,992,424.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.