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Finding the Third Proportional to 764,002.13 and 1,590,652.69

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Solution

The third proportional to 764,002.13 and 1,590,652.69 is: 3,311,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,002.13 : 1,590,652.69 = 1,590,652.69 : x
  2. Step 2: Convert to fraction form
    764,002.13/1,590,652.69 = 1,590,652.69/x
  3. Step 3: Cross multiply
    764,002.13x = 1,590,652.69 × 1,590,652.69
  4. Step 4: Simplify right side
    764,002.13x = 2,530,175,972,250.97
  5. Step 5: Solve for x
    x = 2,530,175,972,250.97/764,002.13
  6. Step 6: Final answer
    x = 3,311,739.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.