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Finding the Third Proportional to 2,288,209.50 and 3,104,163

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Solution

The third proportional to 2,288,209.50 and 3,104,163 is: 4,211,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,209.50 : 3,104,163 = 3,104,163 : x
  2. Step 2: Convert to fraction form
    2,288,209.50/3,104,163 = 3,104,163/x
  3. Step 3: Cross multiply
    2,288,209.50x = 3,104,163 × 3,104,163
  4. Step 4: Simplify right side
    2,288,209.50x = 9,635,827,930,569
  5. Step 5: Solve for x
    x = 9,635,827,930,569/2,288,209.50
  6. Step 6: Final answer
    x = 4,211,077.67

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.