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Finding the Third Proportional to 2,267,751 and 4,896,256

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Solution

The third proportional to 2,267,751 and 4,896,256 is: 10,571,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267,751 : 4,896,256 = 4,896,256 : x
  2. Step 2: Convert to fraction form
    2,267,751/4,896,256 = 4,896,256/x
  3. Step 3: Cross multiply
    2,267,751x = 4,896,256 × 4,896,256
  4. Step 4: Simplify right side
    2,267,751x = 23,973,322,817,536
  5. Step 5: Solve for x
    x = 23,973,322,817,536/2,267,751
  6. Step 6: Final answer
    x = 10,571,408.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.