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Finding the Third Proportional to 2,540,562 and 5,449,509

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Solution

The third proportional to 2,540,562 and 5,449,509 is: 11,689,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,562 : 5,449,509 = 5,449,509 : x
  2. Step 2: Convert to fraction form
    2,540,562/5,449,509 = 5,449,509/x
  3. Step 3: Cross multiply
    2,540,562x = 5,449,509 × 5,449,509
  4. Step 4: Simplify right side
    2,540,562x = 29,697,148,341,081
  5. Step 5: Solve for x
    x = 29,697,148,341,081/2,540,562
  6. Step 6: Final answer
    x = 11,689,204.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.