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Finding the Third Proportional to 2,492,559 and 5,410,521

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Solution

The third proportional to 2,492,559 and 5,410,521 is: 11,744,451.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492,559 : 5,410,521 = 5,410,521 : x
  2. Step 2: Convert to fraction form
    2,492,559/5,410,521 = 5,410,521/x
  3. Step 3: Cross multiply
    2,492,559x = 5,410,521 × 5,410,521
  4. Step 4: Simplify right side
    2,492,559x = 29,273,737,491,441
  5. Step 5: Solve for x
    x = 29,273,737,491,441/2,492,559
  6. Step 6: Final answer
    x = 11,744,451.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.