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Finding the Third Proportional to 751,831 and 1,652,519

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Solution

The third proportional to 751,831 and 1,652,519 is: 3,632,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,831 : 1,652,519 = 1,652,519 : x
  2. Step 2: Convert to fraction form
    751,831/1,652,519 = 1,652,519/x
  3. Step 3: Cross multiply
    751,831x = 1,652,519 × 1,652,519
  4. Step 4: Simplify right side
    751,831x = 2,730,819,045,361
  5. Step 5: Solve for x
    x = 2,730,819,045,361/751,831
  6. Step 6: Final answer
    x = 3,632,224.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.