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Finding the Third Proportional to 997,725.75 and 2,188,593

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Solution

The third proportional to 997,725.75 and 2,188,593 is: 4,800,857.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,725.75 : 2,188,593 = 2,188,593 : x
  2. Step 2: Convert to fraction form
    997,725.75/2,188,593 = 2,188,593/x
  3. Step 3: Cross multiply
    997,725.75x = 2,188,593 × 2,188,593
  4. Step 4: Simplify right side
    997,725.75x = 4,789,939,319,649
  5. Step 5: Solve for x
    x = 4,789,939,319,649/997,725.75
  6. Step 6: Final answer
    x = 4,800,857.67

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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.