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Finding the Third Proportional to 565,550 and 1,212,057

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Solution

The third proportional to 565,550 and 1,212,057 is: 2,597,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,550 : 1,212,057 = 1,212,057 : x
  2. Step 2: Convert to fraction form
    565,550/1,212,057 = 1,212,057/x
  3. Step 3: Cross multiply
    565,550x = 1,212,057 × 1,212,057
  4. Step 4: Simplify right side
    565,550x = 1,469,082,171,249
  5. Step 5: Solve for x
    x = 1,469,082,171,249/565,550
  6. Step 6: Final answer
    x = 2,597,616.78

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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.