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Finding the Third Proportional to 853,692 and 1,864,824

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Solution

The third proportional to 853,692 and 1,864,824 is: 4,073,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,692 : 1,864,824 = 1,864,824 : x
  2. Step 2: Convert to fraction form
    853,692/1,864,824 = 1,864,824/x
  3. Step 3: Cross multiply
    853,692x = 1,864,824 × 1,864,824
  4. Step 4: Simplify right side
    853,692x = 3,477,568,550,976
  5. Step 5: Solve for x
    x = 3,477,568,550,976/853,692
  6. Step 6: Final answer
    x = 4,073,563.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.