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Finding the Third Proportional to 863,635.50 and 1,826,919

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Solution

The third proportional to 863,635.50 and 1,826,919 is: 3,864,631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,635.50 : 1,826,919 = 1,826,919 : x
  2. Step 2: Convert to fraction form
    863,635.50/1,826,919 = 1,826,919/x
  3. Step 3: Cross multiply
    863,635.50x = 1,826,919 × 1,826,919
  4. Step 4: Simplify right side
    863,635.50x = 3,337,633,032,561
  5. Step 5: Solve for x
    x = 3,337,633,032,561/863,635.50
  6. Step 6: Final answer
    x = 3,864,631.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.