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Finding the Third Proportional to 792,211.50 and 1,729,581.75

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Solution

The third proportional to 792,211.50 and 1,729,581.75 is: 3,776,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,211.50 : 1,729,581.75 = 1,729,581.75 : x
  2. Step 2: Convert to fraction form
    792,211.50/1,729,581.75 = 1,729,581.75/x
  3. Step 3: Cross multiply
    792,211.50x = 1,729,581.75 × 1,729,581.75
  4. Step 4: Simplify right side
    792,211.50x = 2,991,453,029,933.06
  5. Step 5: Solve for x
    x = 2,991,453,029,933.06/792,211.50
  6. Step 6: Final answer
    x = 3,776,078.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.