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Finding the Third Proportional to 863,944.50 and 1,919,642.63

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Solution

The third proportional to 863,944.50 and 1,919,642.63 is: 4,265,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,944.50 : 1,919,642.63 = 1,919,642.63 : x
  2. Step 2: Convert to fraction form
    863,944.50/1,919,642.63 = 1,919,642.63/x
  3. Step 3: Cross multiply
    863,944.50x = 1,919,642.63 × 1,919,642.63
  4. Step 4: Simplify right side
    863,944.50x = 3,685,027,807,716.89
  5. Step 5: Solve for x
    x = 3,685,027,807,716.89/863,944.50
  6. Step 6: Final answer
    x = 4,265,352.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.