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Finding the Third Proportional to 852,349.50 and 1,734,075

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Solution

The third proportional to 852,349.50 and 1,734,075 is: 3,527,914.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,349.50 : 1,734,075 = 1,734,075 : x
  2. Step 2: Convert to fraction form
    852,349.50/1,734,075 = 1,734,075/x
  3. Step 3: Cross multiply
    852,349.50x = 1,734,075 × 1,734,075
  4. Step 4: Simplify right side
    852,349.50x = 3,007,016,105,625
  5. Step 5: Solve for x
    x = 3,007,016,105,625/852,349.50
  6. Step 6: Final answer
    x = 3,527,914.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.