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Finding the Third Proportional to 1,738,711.50 and 3,734,517

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Solution

The third proportional to 1,738,711.50 and 3,734,517 is: 8,021,237.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,711.50 : 3,734,517 = 3,734,517 : x
  2. Step 2: Convert to fraction form
    1,738,711.50/3,734,517 = 3,734,517/x
  3. Step 3: Cross multiply
    1,738,711.50x = 3,734,517 × 3,734,517
  4. Step 4: Simplify right side
    1,738,711.50x = 13,946,617,223,289
  5. Step 5: Solve for x
    x = 13,946,617,223,289/1,738,711.50
  6. Step 6: Final answer
    x = 8,021,237.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.