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Finding the Third Proportional to 541,710 and 1,166,670

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Solution

The third proportional to 541,710 and 1,166,670 is: 2,512,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,710 : 1,166,670 = 1,166,670 : x
  2. Step 2: Convert to fraction form
    541,710/1,166,670 = 1,166,670/x
  3. Step 3: Cross multiply
    541,710x = 1,166,670 × 1,166,670
  4. Step 4: Simplify right side
    541,710x = 1,361,118,888,900
  5. Step 5: Solve for x
    x = 1,361,118,888,900/541,710
  6. Step 6: Final answer
    x = 2,512,633.86

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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.