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Finding the Third Proportional to 431,401 and 929,027

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Solution

The third proportional to 431,401 and 929,027 is: 2,000,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,401 : 929,027 = 929,027 : x
  2. Step 2: Convert to fraction form
    431,401/929,027 = 929,027/x
  3. Step 3: Cross multiply
    431,401x = 929,027 × 929,027
  4. Step 4: Simplify right side
    431,401x = 863,091,166,729
  5. Step 5: Solve for x
    x = 863,091,166,729/431,401
  6. Step 6: Final answer
    x = 2,000,670.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.