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Finding the Third Proportional to 509,441.91 and 1,060,231.78

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Solution

The third proportional to 509,441.91 and 1,060,231.78 is: 2,206,515.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,441.91 : 1,060,231.78 = 1,060,231.78 : x
  2. Step 2: Convert to fraction form
    509,441.91/1,060,231.78 = 1,060,231.78/x
  3. Step 3: Cross multiply
    509,441.91x = 1,060,231.78 × 1,060,231.78
  4. Step 4: Simplify right side
    509,441.91x = 1,124,091,429,972.55
  5. Step 5: Solve for x
    x = 1,124,091,429,972.55/509,441.91
  6. Step 6: Final answer
    x = 2,206,515.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.