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Finding the Third Proportional to 540,016 and 831,192

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Solution

The third proportional to 540,016 and 831,192 is: 1,279,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,016 : 831,192 = 831,192 : x
  2. Step 2: Convert to fraction form
    540,016/831,192 = 831,192/x
  3. Step 3: Cross multiply
    540,016x = 831,192 × 831,192
  4. Step 4: Simplify right side
    540,016x = 690,880,140,864
  5. Step 5: Solve for x
    x = 690,880,140,864/540,016
  6. Step 6: Final answer
    x = 1,279,369.76

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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.