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Finding the Third Proportional to 565,242 and 1,212,375

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Solution

The third proportional to 565,242 and 1,212,375 is: 2,600,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,242 : 1,212,375 = 1,212,375 : x
  2. Step 2: Convert to fraction form
    565,242/1,212,375 = 1,212,375/x
  3. Step 3: Cross multiply
    565,242x = 1,212,375 × 1,212,375
  4. Step 4: Simplify right side
    565,242x = 1,469,853,140,625
  5. Step 5: Solve for x
    x = 1,469,853,140,625/565,242
  6. Step 6: Final answer
    x = 2,600,396.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.