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Finding the Third Proportional to 3,764,664 and 5,682,096

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Solution

The third proportional to 3,764,664 and 5,682,096 is: 8,576,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764,664 : 5,682,096 = 5,682,096 : x
  2. Step 2: Convert to fraction form
    3,764,664/5,682,096 = 5,682,096/x
  3. Step 3: Cross multiply
    3,764,664x = 5,682,096 × 5,682,096
  4. Step 4: Simplify right side
    3,764,664x = 32,286,214,953,216
  5. Step 5: Solve for x
    x = 32,286,214,953,216/3,764,664
  6. Step 6: Final answer
    x = 8,576,121.26

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Why These Related Problems?

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