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Finding the Third Proportional to 1,520,311.50 and 3,305,243.25

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Solution

The third proportional to 1,520,311.50 and 3,305,243.25 is: 7,185,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,311.50 : 3,305,243.25 = 3,305,243.25 : x
  2. Step 2: Convert to fraction form
    1,520,311.50/3,305,243.25 = 3,305,243.25/x
  3. Step 3: Cross multiply
    1,520,311.50x = 3,305,243.25 × 3,305,243.25
  4. Step 4: Simplify right side
    1,520,311.50x = 10,924,632,941,670.56
  5. Step 5: Solve for x
    x = 10,924,632,941,670.56/1,520,311.50
  6. Step 6: Final answer
    x = 7,185,785.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.