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Finding the Third Proportional to 757,138 and 1,667,906

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Solution

The third proportional to 757,138 and 1,667,906 is: 3,674,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,138 : 1,667,906 = 1,667,906 : x
  2. Step 2: Convert to fraction form
    757,138/1,667,906 = 1,667,906/x
  3. Step 3: Cross multiply
    757,138x = 1,667,906 × 1,667,906
  4. Step 4: Simplify right side
    757,138x = 2,781,910,424,836
  5. Step 5: Solve for x
    x = 2,781,910,424,836/757,138
  6. Step 6: Final answer
    x = 3,674,244.89

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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.