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Finding the Third Proportional to 534,938 and 1,165,834

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Solution

The third proportional to 534,938 and 1,165,834 is: 2,540,797.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,938 : 1,165,834 = 1,165,834 : x
  2. Step 2: Convert to fraction form
    534,938/1,165,834 = 1,165,834/x
  3. Step 3: Cross multiply
    534,938x = 1,165,834 × 1,165,834
  4. Step 4: Simplify right side
    534,938x = 1,359,168,915,556
  5. Step 5: Solve for x
    x = 1,359,168,915,556/534,938
  6. Step 6: Final answer
    x = 2,540,797.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.