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Finding the Third Proportional to 807,839.50 and 1,196,161.50

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Solution

The third proportional to 807,839.50 and 1,196,161.50 is: 1,771,146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,839.50 : 1,196,161.50 = 1,196,161.50 : x
  2. Step 2: Convert to fraction form
    807,839.50/1,196,161.50 = 1,196,161.50/x
  3. Step 3: Cross multiply
    807,839.50x = 1,196,161.50 × 1,196,161.50
  4. Step 4: Simplify right side
    807,839.50x = 1,430,802,334,082.25
  5. Step 5: Solve for x
    x = 1,430,802,334,082.25/807,839.50
  6. Step 6: Final answer
    x = 1,771,146.79

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.