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Finding the Third Proportional to 1,738,647 and 2,555,872.50

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Solution

The third proportional to 1,738,647 and 2,555,872.50 is: 3,757,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,647 : 2,555,872.50 = 2,555,872.50 : x
  2. Step 2: Convert to fraction form
    1,738,647/2,555,872.50 = 2,555,872.50/x
  3. Step 3: Cross multiply
    1,738,647x = 2,555,872.50 × 2,555,872.50
  4. Step 4: Simplify right side
    1,738,647x = 6,532,484,236,256.25
  5. Step 5: Solve for x
    x = 6,532,484,236,256.25/1,738,647
  6. Step 6: Final answer
    x = 3,757,222.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.