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Finding the Third Proportional to 886,858.45 and 1,945,396.41

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Solution

The third proportional to 886,858.45 and 1,945,396.41 is: 4,267,385.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    886,858.45 : 1,945,396.41 = 1,945,396.41 : x
  2. Step 2: Convert to fraction form
    886,858.45/1,945,396.41 = 1,945,396.41/x
  3. Step 3: Cross multiply
    886,858.45x = 1,945,396.41 × 1,945,396.41
  4. Step 4: Simplify right side
    886,858.45x = 3,784,567,177,450.42
  5. Step 5: Solve for x
    x = 3,784,567,177,450.42/886,858.45
  6. Step 6: Final answer
    x = 4,267,385.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.