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Finding the Third Proportional to 569,591 and 1,212,802

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Solution

The third proportional to 569,591 and 1,212,802 is: 2,582,359.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,591 : 1,212,802 = 1,212,802 : x
  2. Step 2: Convert to fraction form
    569,591/1,212,802 = 1,212,802/x
  3. Step 3: Cross multiply
    569,591x = 1,212,802 × 1,212,802
  4. Step 4: Simplify right side
    569,591x = 1,470,888,691,204
  5. Step 5: Solve for x
    x = 1,470,888,691,204/569,591
  6. Step 6: Final answer
    x = 2,582,359.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.