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Finding the Third Proportional to 2,557,148 and 3,882,378

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Solution

The third proportional to 2,557,148 and 3,882,378 is: 5,894,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,148 : 3,882,378 = 3,882,378 : x
  2. Step 2: Convert to fraction form
    2,557,148/3,882,378 = 3,882,378/x
  3. Step 3: Cross multiply
    2,557,148x = 3,882,378 × 3,882,378
  4. Step 4: Simplify right side
    2,557,148x = 15,072,858,934,884
  5. Step 5: Solve for x
    x = 15,072,858,934,884/2,557,148
  6. Step 6: Final answer
    x = 5,894,402.25

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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.