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Finding the Third Proportional to 414,722 and 888,412

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Solution

The third proportional to 414,722 and 888,412 is: 1,903,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,722 : 888,412 = 888,412 : x
  2. Step 2: Convert to fraction form
    414,722/888,412 = 888,412/x
  3. Step 3: Cross multiply
    414,722x = 888,412 × 888,412
  4. Step 4: Simplify right side
    414,722x = 789,275,881,744
  5. Step 5: Solve for x
    x = 789,275,881,744/414,722
  6. Step 6: Final answer
    x = 1,903,144.47

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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.