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Finding the Third Proportional to 869,758 and 1,224,809

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Solution

The third proportional to 869,758 and 1,224,809 is: 1,724,798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,758 : 1,224,809 = 1,224,809 : x
  2. Step 2: Convert to fraction form
    869,758/1,224,809 = 1,224,809/x
  3. Step 3: Cross multiply
    869,758x = 1,224,809 × 1,224,809
  4. Step 4: Simplify right side
    869,758x = 1,500,157,086,481
  5. Step 5: Solve for x
    x = 1,500,157,086,481/869,758
  6. Step 6: Final answer
    x = 1,724,798.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.