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Finding the Third Proportional to 570,546.75 and 1,204,754.63

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Solution

The third proportional to 570,546.75 and 1,204,754.63 is: 2,543,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,546.75 : 1,204,754.63 = 1,204,754.63 : x
  2. Step 2: Convert to fraction form
    570,546.75/1,204,754.63 = 1,204,754.63/x
  3. Step 3: Cross multiply
    570,546.75x = 1,204,754.63 × 1,204,754.63
  4. Step 4: Simplify right side
    570,546.75x = 1,451,433,706,458.89
  5. Step 5: Solve for x
    x = 1,451,433,706,458.89/570,546.75
  6. Step 6: Final answer
    x = 2,543,934.75

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.