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Finding the Third Proportional to 896.86 and 1,900.59

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Solution

The third proportional to 896.86 and 1,900.59 is: 4,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.86 : 1,900.59 = 1,900.59 : x
  2. Step 2: Convert to fraction form
    896.86/1,900.59 = 1,900.59/x
  3. Step 3: Cross multiply
    896.86x = 1,900.59 × 1,900.59
  4. Step 4: Simplify right side
    896.86x = 3,612,256.60
  5. Step 5: Solve for x
    x = 3,612,256.60/896.86
  6. Step 6: Final answer
    x = 4,027.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.