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Finding the Third Proportional to 762,272 and 1,505,268

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Solution

The third proportional to 762,272 and 1,505,268 is: 2,972,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,272 : 1,505,268 = 1,505,268 : x
  2. Step 2: Convert to fraction form
    762,272/1,505,268 = 1,505,268/x
  3. Step 3: Cross multiply
    762,272x = 1,505,268 × 1,505,268
  4. Step 4: Simplify right side
    762,272x = 2,265,831,751,824
  5. Step 5: Solve for x
    x = 2,265,831,751,824/762,272
  6. Step 6: Final answer
    x = 2,972,471.44

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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.