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Finding the Third Proportional to 829,224 and 1,741,999.50

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Solution

The third proportional to 829,224 and 1,741,999.50 is: 3,659,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,224 : 1,741,999.50 = 1,741,999.50 : x
  2. Step 2: Convert to fraction form
    829,224/1,741,999.50 = 1,741,999.50/x
  3. Step 3: Cross multiply
    829,224x = 1,741,999.50 × 1,741,999.50
  4. Step 4: Simplify right side
    829,224x = 3,034,562,258,000.25
  5. Step 5: Solve for x
    x = 3,034,562,258,000.25/829,224
  6. Step 6: Final answer
    x = 3,659,520.54

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Why These Related Problems?

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