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Finding the Third Proportional to 762,253 and 1,505,227

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Solution

The third proportional to 762,253 and 1,505,227 is: 2,972,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,253 : 1,505,227 = 1,505,227 : x
  2. Step 2: Convert to fraction form
    762,253/1,505,227 = 1,505,227/x
  3. Step 3: Cross multiply
    762,253x = 1,505,227 × 1,505,227
  4. Step 4: Simplify right side
    762,253x = 2,265,708,321,529
  5. Step 5: Solve for x
    x = 2,265,708,321,529/762,253
  6. Step 6: Final answer
    x = 2,972,383.61

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.