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Finding the Third Proportional to 541,736 and 839,993

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Solution

The third proportional to 541,736 and 839,993 is: 1,302,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,736 : 839,993 = 839,993 : x
  2. Step 2: Convert to fraction form
    541,736/839,993 = 839,993/x
  3. Step 3: Cross multiply
    541,736x = 839,993 × 839,993
  4. Step 4: Simplify right side
    541,736x = 705,588,240,049
  5. Step 5: Solve for x
    x = 705,588,240,049/541,736
  6. Step 6: Final answer
    x = 1,302,457.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.