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Finding the Third Proportional to 853,969 and 1,848,194

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Solution

The third proportional to 853,969 and 1,848,194 is: 3,999,935.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,969 : 1,848,194 = 1,848,194 : x
  2. Step 2: Convert to fraction form
    853,969/1,848,194 = 1,848,194/x
  3. Step 3: Cross multiply
    853,969x = 1,848,194 × 1,848,194
  4. Step 4: Simplify right side
    853,969x = 3,415,821,061,636
  5. Step 5: Solve for x
    x = 3,415,821,061,636/853,969
  6. Step 6: Final answer
    x = 3,999,935.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.