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Finding the Third Proportional to 839,200.50 and 1,832,115.38

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Solution

The third proportional to 839,200.50 and 1,832,115.38 is: 3,999,815.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,200.50 : 1,832,115.38 = 1,832,115.38 : x
  2. Step 2: Convert to fraction form
    839,200.50/1,832,115.38 = 1,832,115.38/x
  3. Step 3: Cross multiply
    839,200.50x = 1,832,115.38 × 1,832,115.38
  4. Step 4: Simplify right side
    839,200.50x = 3,356,646,747,311.39
  5. Step 5: Solve for x
    x = 3,356,646,747,311.39/839,200.50
  6. Step 6: Final answer
    x = 3,999,815.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.