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Finding the Third Proportional to 646,481.75 and 1,359,960.75

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Solution

The third proportional to 646,481.75 and 1,359,960.75 is: 2,860,859.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,481.75 : 1,359,960.75 = 1,359,960.75 : x
  2. Step 2: Convert to fraction form
    646,481.75/1,359,960.75 = 1,359,960.75/x
  3. Step 3: Cross multiply
    646,481.75x = 1,359,960.75 × 1,359,960.75
  4. Step 4: Simplify right side
    646,481.75x = 1,849,493,241,540.56
  5. Step 5: Solve for x
    x = 1,849,493,241,540.56/646,481.75
  6. Step 6: Final answer
    x = 2,860,859.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.