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Finding the Third Proportional to 3,467,314 and 4,601,976

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Solution

The third proportional to 3,467,314 and 4,601,976 is: 6,107,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467,314 : 4,601,976 = 4,601,976 : x
  2. Step 2: Convert to fraction form
    3,467,314/4,601,976 = 4,601,976/x
  3. Step 3: Cross multiply
    3,467,314x = 4,601,976 × 4,601,976
  4. Step 4: Simplify right side
    3,467,314x = 21,178,183,104,576
  5. Step 5: Solve for x
    x = 21,178,183,104,576/3,467,314
  6. Step 6: Final answer
    x = 6,107,950.74

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.