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Finding the Third Proportional to 2,479,792 and 5,257,178

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Solution

The third proportional to 2,479,792 and 5,257,178 is: 11,145,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,479,792 : 5,257,178 = 5,257,178 : x
  2. Step 2: Convert to fraction form
    2,479,792/5,257,178 = 5,257,178/x
  3. Step 3: Cross multiply
    2,479,792x = 5,257,178 × 5,257,178
  4. Step 4: Simplify right side
    2,479,792x = 27,637,920,523,684
  5. Step 5: Solve for x
    x = 27,637,920,523,684/2,479,792
  6. Step 6: Final answer
    x = 11,145,257.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.