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Finding the Third Proportional to 558,057 and 1,211,249

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Solution

The third proportional to 558,057 and 1,211,249 is: 2,628,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,057 : 1,211,249 = 1,211,249 : x
  2. Step 2: Convert to fraction form
    558,057/1,211,249 = 1,211,249/x
  3. Step 3: Cross multiply
    558,057x = 1,211,249 × 1,211,249
  4. Step 4: Simplify right side
    558,057x = 1,467,124,140,001
  5. Step 5: Solve for x
    x = 1,467,124,140,001/558,057
  6. Step 6: Final answer
    x = 2,628,986.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.