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Finding the Third Proportional to 589,694 and 883,612

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Solution

The third proportional to 589,694 and 883,612 is: 1,324,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,694 : 883,612 = 883,612 : x
  2. Step 2: Convert to fraction form
    589,694/883,612 = 883,612/x
  3. Step 3: Cross multiply
    589,694x = 883,612 × 883,612
  4. Step 4: Simplify right side
    589,694x = 780,770,166,544
  5. Step 5: Solve for x
    x = 780,770,166,544/589,694
  6. Step 6: Final answer
    x = 1,324,025.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.