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Finding the Third Proportional to 869,834 and 1,799,356

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Solution

The third proportional to 869,834 and 1,799,356 is: 3,722,183.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,834 : 1,799,356 = 1,799,356 : x
  2. Step 2: Convert to fraction form
    869,834/1,799,356 = 1,799,356/x
  3. Step 3: Cross multiply
    869,834x = 1,799,356 × 1,799,356
  4. Step 4: Simplify right side
    869,834x = 3,237,682,014,736
  5. Step 5: Solve for x
    x = 3,237,682,014,736/869,834
  6. Step 6: Final answer
    x = 3,722,183.79

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.