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Finding the Third Proportional to 997,738.50 and 2,188,621.50

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Solution

The third proportional to 997,738.50 and 2,188,621.50 is: 4,800,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,738.50 : 2,188,621.50 = 2,188,621.50 : x
  2. Step 2: Convert to fraction form
    997,738.50/2,188,621.50 = 2,188,621.50/x
  3. Step 3: Cross multiply
    997,738.50x = 2,188,621.50 × 2,188,621.50
  4. Step 4: Simplify right side
    997,738.50x = 4,790,064,070,262.25
  5. Step 5: Solve for x
    x = 4,790,064,070,262.25/997,738.50
  6. Step 6: Final answer
    x = 4,800,921.35

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.