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Finding the Third Proportional to 637,828 and 978,704

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Solution

The third proportional to 637,828 and 978,704 is: 1,501,755.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,828 : 978,704 = 978,704 : x
  2. Step 2: Convert to fraction form
    637,828/978,704 = 978,704/x
  3. Step 3: Cross multiply
    637,828x = 978,704 × 978,704
  4. Step 4: Simplify right side
    637,828x = 957,861,519,616
  5. Step 5: Solve for x
    x = 957,861,519,616/637,828
  6. Step 6: Final answer
    x = 1,501,755.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.