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Finding the Third Proportional to 2,557,160 and 3,882,396

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Solution

The third proportional to 2,557,160 and 3,882,396 is: 5,894,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,160 : 3,882,396 = 3,882,396 : x
  2. Step 2: Convert to fraction form
    2,557,160/3,882,396 = 3,882,396/x
  3. Step 3: Cross multiply
    2,557,160x = 3,882,396 × 3,882,396
  4. Step 4: Simplify right side
    2,557,160x = 15,072,998,700,816
  5. Step 5: Solve for x
    x = 15,072,998,700,816/2,557,160
  6. Step 6: Final answer
    x = 5,894,429.25

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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.