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Finding the Third Proportional to 534,834 and 1,187,766

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Solution

The third proportional to 534,834 and 1,187,766 is: 2,637,805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,834 : 1,187,766 = 1,187,766 : x
  2. Step 2: Convert to fraction form
    534,834/1,187,766 = 1,187,766/x
  3. Step 3: Cross multiply
    534,834x = 1,187,766 × 1,187,766
  4. Step 4: Simplify right side
    534,834x = 1,410,788,070,756
  5. Step 5: Solve for x
    x = 1,410,788,070,756/534,834
  6. Step 6: Final answer
    x = 2,637,805.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.