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Finding the Third Proportional to 514,654 and 1,134,016

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Solution

The third proportional to 514,654 and 1,134,016 is: 2,498,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,654 : 1,134,016 = 1,134,016 : x
  2. Step 2: Convert to fraction form
    514,654/1,134,016 = 1,134,016/x
  3. Step 3: Cross multiply
    514,654x = 1,134,016 × 1,134,016
  4. Step 4: Simplify right side
    514,654x = 1,285,992,288,256
  5. Step 5: Solve for x
    x = 1,285,992,288,256/514,654
  6. Step 6: Final answer
    x = 2,498,751.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.