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Finding the Third Proportional to 520,508 and 1,204,886

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Solution

The third proportional to 520,508 and 1,204,886 is: 2,789,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,508 : 1,204,886 = 1,204,886 : x
  2. Step 2: Convert to fraction form
    520,508/1,204,886 = 1,204,886/x
  3. Step 3: Cross multiply
    520,508x = 1,204,886 × 1,204,886
  4. Step 4: Simplify right side
    520,508x = 1,451,750,272,996
  5. Step 5: Solve for x
    x = 1,451,750,272,996/520,508
  6. Step 6: Final answer
    x = 2,789,102.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.