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Finding the Third Proportional to 479,409 and 1,065,234

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Solution

The third proportional to 479,409 and 1,065,234 is: 2,366,921.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,409 : 1,065,234 = 1,065,234 : x
  2. Step 2: Convert to fraction form
    479,409/1,065,234 = 1,065,234/x
  3. Step 3: Cross multiply
    479,409x = 1,065,234 × 1,065,234
  4. Step 4: Simplify right side
    479,409x = 1,134,723,474,756
  5. Step 5: Solve for x
    x = 1,134,723,474,756/479,409
  6. Step 6: Final answer
    x = 2,366,921.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.