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Finding the Third Proportional to 2,106,216 and 3,177,936

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Solution

The third proportional to 2,106,216 and 3,177,936 is: 4,794,986.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,216 : 3,177,936 = 3,177,936 : x
  2. Step 2: Convert to fraction form
    2,106,216/3,177,936 = 3,177,936/x
  3. Step 3: Cross multiply
    2,106,216x = 3,177,936 × 3,177,936
  4. Step 4: Simplify right side
    2,106,216x = 10,099,277,220,096
  5. Step 5: Solve for x
    x = 10,099,277,220,096/2,106,216
  6. Step 6: Final answer
    x = 4,794,986.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.