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Finding the Third Proportional to 2,764,670 and 5,749,990

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Solution

The third proportional to 2,764,670 and 5,749,990 is: 11,958,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764,670 : 5,749,990 = 5,749,990 : x
  2. Step 2: Convert to fraction form
    2,764,670/5,749,990 = 5,749,990/x
  3. Step 3: Cross multiply
    2,764,670x = 5,749,990 × 5,749,990
  4. Step 4: Simplify right side
    2,764,670x = 33,062,385,000,100
  5. Step 5: Solve for x
    x = 33,062,385,000,100/2,764,670
  6. Step 6: Final answer
    x = 11,958,890.21

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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.