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Finding the Third Proportional to 757,734.75 and 1,608,872.63

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Solution

The third proportional to 757,734.75 and 1,608,872.63 is: 3,416,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,734.75 : 1,608,872.63 = 1,608,872.63 : x
  2. Step 2: Convert to fraction form
    757,734.75/1,608,872.63 = 1,608,872.63/x
  3. Step 3: Cross multiply
    757,734.75x = 1,608,872.63 × 1,608,872.63
  4. Step 4: Simplify right side
    757,734.75x = 2,588,471,123,474.39
  5. Step 5: Solve for x
    x = 2,588,471,123,474.39/757,734.75
  6. Step 6: Final answer
    x = 3,416,064.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.