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Finding the Third Proportional to 619,382.81 and 947,589.75

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Solution

The third proportional to 619,382.81 and 947,589.75 is: 1,449,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,382.81 : 947,589.75 = 947,589.75 : x
  2. Step 2: Convert to fraction form
    619,382.81/947,589.75 = 947,589.75/x
  3. Step 3: Cross multiply
    619,382.81x = 947,589.75 × 947,589.75
  4. Step 4: Simplify right side
    619,382.81x = 897,926,334,305.06
  5. Step 5: Solve for x
    x = 897,926,334,305.06/619,382.81
  6. Step 6: Final answer
    x = 1,449,711.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.