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Finding the Third Proportional to 509,337 and 1,115,874

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Solution

The third proportional to 509,337 and 1,115,874 is: 2,444,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,337 : 1,115,874 = 1,115,874 : x
  2. Step 2: Convert to fraction form
    509,337/1,115,874 = 1,115,874/x
  3. Step 3: Cross multiply
    509,337x = 1,115,874 × 1,115,874
  4. Step 4: Simplify right side
    509,337x = 1,245,174,783,876
  5. Step 5: Solve for x
    x = 1,245,174,783,876/509,337
  6. Step 6: Final answer
    x = 2,444,697.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.