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Finding the Third Proportional to 2,509,932 and 3,878,268

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Solution

The third proportional to 2,509,932 and 3,878,268 is: 5,992,577.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509,932 : 3,878,268 = 3,878,268 : x
  2. Step 2: Convert to fraction form
    2,509,932/3,878,268 = 3,878,268/x
  3. Step 3: Cross multiply
    2,509,932x = 3,878,268 × 3,878,268
  4. Step 4: Simplify right side
    2,509,932x = 15,040,962,679,824
  5. Step 5: Solve for x
    x = 15,040,962,679,824/2,509,932
  6. Step 6: Final answer
    x = 5,992,577.76

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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.