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Finding the Third Proportional to 997,808.25 and 2,188,768.50

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Solution

The third proportional to 997,808.25 and 2,188,768.50 is: 4,801,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,808.25 : 2,188,768.50 = 2,188,768.50 : x
  2. Step 2: Convert to fraction form
    997,808.25/2,188,768.50 = 2,188,768.50/x
  3. Step 3: Cross multiply
    997,808.25x = 2,188,768.50 × 2,188,768.50
  4. Step 4: Simplify right side
    997,808.25x = 4,790,707,546,592.25
  5. Step 5: Solve for x
    x = 4,790,707,546,592.25/997,808.25
  6. Step 6: Final answer
    x = 4,801,230.64

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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.