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Finding the Third Proportional to 683,474 and 1,582,253

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Solution

The third proportional to 683,474 and 1,582,253 is: 3,662,940.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,474 : 1,582,253 = 1,582,253 : x
  2. Step 2: Convert to fraction form
    683,474/1,582,253 = 1,582,253/x
  3. Step 3: Cross multiply
    683,474x = 1,582,253 × 1,582,253
  4. Step 4: Simplify right side
    683,474x = 2,503,524,556,009
  5. Step 5: Solve for x
    x = 2,503,524,556,009/683,474
  6. Step 6: Final answer
    x = 3,662,940.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.