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Finding the Third Proportional to 2,257,632 and 3,458,376

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Solution

The third proportional to 2,257,632 and 3,458,376 is: 5,297,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,632 : 3,458,376 = 3,458,376 : x
  2. Step 2: Convert to fraction form
    2,257,632/3,458,376 = 3,458,376/x
  3. Step 3: Cross multiply
    2,257,632x = 3,458,376 × 3,458,376
  4. Step 4: Simplify right side
    2,257,632x = 11,960,364,557,376
  5. Step 5: Solve for x
    x = 11,960,364,557,376/2,257,632
  6. Step 6: Final answer
    x = 5,297,747.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.