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Finding the Third Proportional to 997,382.25 and 2,194,024.50

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Solution

The third proportional to 997,382.25 and 2,194,024.50 is: 4,826,377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,382.25 : 2,194,024.50 = 2,194,024.50 : x
  2. Step 2: Convert to fraction form
    997,382.25/2,194,024.50 = 2,194,024.50/x
  3. Step 3: Cross multiply
    997,382.25x = 2,194,024.50 × 2,194,024.50
  4. Step 4: Simplify right side
    997,382.25x = 4,813,743,506,600.25
  5. Step 5: Solve for x
    x = 4,813,743,506,600.25/997,382.25
  6. Step 6: Final answer
    x = 4,826,377.76

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Why These Related Problems?

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