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Finding the Third Proportional to 863,941 and 1,919,635.50

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Solution

The third proportional to 863,941 and 1,919,635.50 is: 4,265,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,941 : 1,919,635.50 = 1,919,635.50 : x
  2. Step 2: Convert to fraction form
    863,941/1,919,635.50 = 1,919,635.50/x
  3. Step 3: Cross multiply
    863,941x = 1,919,635.50 × 1,919,635.50
  4. Step 4: Simplify right side
    863,941x = 3,685,000,452,860.25
  5. Step 5: Solve for x
    x = 3,685,000,452,860.25/863,941
  6. Step 6: Final answer
    x = 4,265,338.09

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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.