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Finding the Third Proportional to 559,586.05 and 1,198,951.56

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Solution

The third proportional to 559,586.05 and 1,198,951.56 is: 2,568,836.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,586.05 : 1,198,951.56 = 1,198,951.56 : x
  2. Step 2: Convert to fraction form
    559,586.05/1,198,951.56 = 1,198,951.56/x
  3. Step 3: Cross multiply
    559,586.05x = 1,198,951.56 × 1,198,951.56
  4. Step 4: Simplify right side
    559,586.05x = 1,437,484,839,854.50
  5. Step 5: Solve for x
    x = 1,437,484,839,854.50/559,586.05
  6. Step 6: Final answer
    x = 2,568,836.10

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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.