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Finding the Third Proportional to 414,847 and 904,777

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Solution

The third proportional to 414,847 and 904,777 is: 1,973,309.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,847 : 904,777 = 904,777 : x
  2. Step 2: Convert to fraction form
    414,847/904,777 = 904,777/x
  3. Step 3: Cross multiply
    414,847x = 904,777 × 904,777
  4. Step 4: Simplify right side
    414,847x = 818,621,419,729
  5. Step 5: Solve for x
    x = 818,621,419,729/414,847
  6. Step 6: Final answer
    x = 1,973,309.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.