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Finding the Third Proportional to 1,622,144 and 3,347,096

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Solution

The third proportional to 1,622,144 and 3,347,096 is: 6,906,323.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,622,144 : 3,347,096 = 3,347,096 : x
  2. Step 2: Convert to fraction form
    1,622,144/3,347,096 = 3,347,096/x
  3. Step 3: Cross multiply
    1,622,144x = 3,347,096 × 3,347,096
  4. Step 4: Simplify right side
    1,622,144x = 11,203,051,633,216
  5. Step 5: Solve for x
    x = 11,203,051,633,216/1,622,144
  6. Step 6: Final answer
    x = 6,906,323.75

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.