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Finding the Third Proportional to 558,071 and 1,211,275

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Solution

The third proportional to 558,071 and 1,211,275 is: 2,629,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,071 : 1,211,275 = 1,211,275 : x
  2. Step 2: Convert to fraction form
    558,071/1,211,275 = 1,211,275/x
  3. Step 3: Cross multiply
    558,071x = 1,211,275 × 1,211,275
  4. Step 4: Simplify right side
    558,071x = 1,467,187,125,625
  5. Step 5: Solve for x
    x = 1,467,187,125,625/558,071
  6. Step 6: Final answer
    x = 2,629,033.09

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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.