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Finding the Third Proportional to 839,121.75 and 1,290,539.25

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Solution

The third proportional to 839,121.75 and 1,290,539.25 is: 1,984,803.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,121.75 : 1,290,539.25 = 1,290,539.25 : x
  2. Step 2: Convert to fraction form
    839,121.75/1,290,539.25 = 1,290,539.25/x
  3. Step 3: Cross multiply
    839,121.75x = 1,290,539.25 × 1,290,539.25
  4. Step 4: Simplify right side
    839,121.75x = 1,665,491,555,790.56
  5. Step 5: Solve for x
    x = 1,665,491,555,790.56/839,121.75
  6. Step 6: Final answer
    x = 1,984,803.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.