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Finding the Third Proportional to 582,093 and 1,234,622.25

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Solution

The third proportional to 582,093 and 1,234,622.25 is: 2,618,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,093 : 1,234,622.25 = 1,234,622.25 : x
  2. Step 2: Convert to fraction form
    582,093/1,234,622.25 = 1,234,622.25/x
  3. Step 3: Cross multiply
    582,093x = 1,234,622.25 × 1,234,622.25
  4. Step 4: Simplify right side
    582,093x = 1,524,292,100,195.06
  5. Step 5: Solve for x
    x = 1,524,292,100,195.06/582,093
  6. Step 6: Final answer
    x = 2,618,640.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.