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Finding the Third Proportional to 2,743,729.50 and 4,075,800

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Solution

The third proportional to 2,743,729.50 and 4,075,800 is: 6,054,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743,729.50 : 4,075,800 = 4,075,800 : x
  2. Step 2: Convert to fraction form
    2,743,729.50/4,075,800 = 4,075,800/x
  3. Step 3: Cross multiply
    2,743,729.50x = 4,075,800 × 4,075,800
  4. Step 4: Simplify right side
    2,743,729.50x = 16,612,145,640,000
  5. Step 5: Solve for x
    x = 16,612,145,640,000/2,743,729.50
  6. Step 6: Final answer
    x = 6,054,585.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.