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Finding the Third Proportional to 997,813 and 2,188,767

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Solution

The third proportional to 997,813 and 2,188,767 is: 4,801,201.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,813 : 2,188,767 = 2,188,767 : x
  2. Step 2: Convert to fraction form
    997,813/2,188,767 = 2,188,767/x
  3. Step 3: Cross multiply
    997,813x = 2,188,767 × 2,188,767
  4. Step 4: Simplify right side
    997,813x = 4,790,700,980,289
  5. Step 5: Solve for x
    x = 4,790,700,980,289/997,813
  6. Step 6: Final answer
    x = 4,801,201.21

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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.