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Finding the Third Proportional to 997,380.75 and 2,194,021.50

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Solution

The third proportional to 997,380.75 and 2,194,021.50 is: 4,826,371.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,380.75 : 2,194,021.50 = 2,194,021.50 : x
  2. Step 2: Convert to fraction form
    997,380.75/2,194,021.50 = 2,194,021.50/x
  3. Step 3: Cross multiply
    997,380.75x = 2,194,021.50 × 2,194,021.50
  4. Step 4: Simplify right side
    997,380.75x = 4,813,730,342,462.25
  5. Step 5: Solve for x
    x = 4,813,730,342,462.25/997,380.75
  6. Step 6: Final answer
    x = 4,826,371.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.