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Finding the Third Proportional to 541,738 and 1,166,724

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Solution

The third proportional to 541,738 and 1,166,724 is: 2,512,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,738 : 1,166,724 = 1,166,724 : x
  2. Step 2: Convert to fraction form
    541,738/1,166,724 = 1,166,724/x
  3. Step 3: Cross multiply
    541,738x = 1,166,724 × 1,166,724
  4. Step 4: Simplify right side
    541,738x = 1,361,244,892,176
  5. Step 5: Solve for x
    x = 1,361,244,892,176/541,738
  6. Step 6: Final answer
    x = 2,512,736.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.