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Finding the Third Proportional to 541,848 and 843,792

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Solution

The third proportional to 541,848 and 843,792 is: 1,313,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,848 : 843,792 = 843,792 : x
  2. Step 2: Convert to fraction form
    541,848/843,792 = 843,792/x
  3. Step 3: Cross multiply
    541,848x = 843,792 × 843,792
  4. Step 4: Simplify right side
    541,848x = 711,984,939,264
  5. Step 5: Solve for x
    x = 711,984,939,264/541,848
  6. Step 6: Final answer
    x = 1,313,993.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.