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Finding the Third Proportional to 611,548 and 1,297,100

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Solution

The third proportional to 611,548 and 1,297,100 is: 2,751,163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,548 : 1,297,100 = 1,297,100 : x
  2. Step 2: Convert to fraction form
    611,548/1,297,100 = 1,297,100/x
  3. Step 3: Cross multiply
    611,548x = 1,297,100 × 1,297,100
  4. Step 4: Simplify right side
    611,548x = 1,682,468,410,000
  5. Step 5: Solve for x
    x = 1,682,468,410,000/611,548
  6. Step 6: Final answer
    x = 2,751,163.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.