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Finding the Third Proportional to 633,912.75 and 1,494,919.13

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Solution

The third proportional to 633,912.75 and 1,494,919.13 is: 3,525,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,912.75 : 1,494,919.13 = 1,494,919.13 : x
  2. Step 2: Convert to fraction form
    633,912.75/1,494,919.13 = 1,494,919.13/x
  3. Step 3: Cross multiply
    633,912.75x = 1,494,919.13 × 1,494,919.13
  4. Step 4: Simplify right side
    633,912.75x = 2,234,783,190,290.77
  5. Step 5: Solve for x
    x = 2,234,783,190,290.77/633,912.75
  6. Step 6: Final answer
    x = 3,525,379.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.