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Finding the Third Proportional to 414,762 and 888,272

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Solution

The third proportional to 414,762 and 888,272 is: 1,902,361.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,762 : 888,272 = 888,272 : x
  2. Step 2: Convert to fraction form
    414,762/888,272 = 888,272/x
  3. Step 3: Cross multiply
    414,762x = 888,272 × 888,272
  4. Step 4: Simplify right side
    414,762x = 789,027,145,984
  5. Step 5: Solve for x
    x = 789,027,145,984/414,762
  6. Step 6: Final answer
    x = 1,902,361.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.