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Finding the Third Proportional to 2,557,140 and 3,882,367

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Solution

The third proportional to 2,557,140 and 3,882,367 is: 5,894,387.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,140 : 3,882,367 = 3,882,367 : x
  2. Step 2: Convert to fraction form
    2,557,140/3,882,367 = 3,882,367/x
  3. Step 3: Cross multiply
    2,557,140x = 3,882,367 × 3,882,367
  4. Step 4: Simplify right side
    2,557,140x = 15,072,773,522,689
  5. Step 5: Solve for x
    x = 15,072,773,522,689/2,557,140
  6. Step 6: Final answer
    x = 5,894,387.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.