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Finding the Third Proportional to 621,804 and 960,183

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Solution

The third proportional to 621,804 and 960,183 is: 1,482,704.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,804 : 960,183 = 960,183 : x
  2. Step 2: Convert to fraction form
    621,804/960,183 = 960,183/x
  3. Step 3: Cross multiply
    621,804x = 960,183 × 960,183
  4. Step 4: Simplify right side
    621,804x = 921,951,393,489
  5. Step 5: Solve for x
    x = 921,951,393,489/621,804
  6. Step 6: Final answer
    x = 1,482,704.19

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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.