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Finding the Third Proportional to 541,738 and 839,996

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Solution

The third proportional to 541,738 and 839,996 is: 1,302,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,738 : 839,996 = 839,996 : x
  2. Step 2: Convert to fraction form
    541,738/839,996 = 839,996/x
  3. Step 3: Cross multiply
    541,738x = 839,996 × 839,996
  4. Step 4: Simplify right side
    541,738x = 705,593,280,016
  5. Step 5: Solve for x
    x = 705,593,280,016/541,738
  6. Step 6: Final answer
    x = 1,302,462.22

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