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Finding the Third Proportional to 534,858 and 1,174,698

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Solution

The third proportional to 534,858 and 1,174,698 is: 2,579,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,858 : 1,174,698 = 1,174,698 : x
  2. Step 2: Convert to fraction form
    534,858/1,174,698 = 1,174,698/x
  3. Step 3: Cross multiply
    534,858x = 1,174,698 × 1,174,698
  4. Step 4: Simplify right side
    534,858x = 1,379,915,391,204
  5. Step 5: Solve for x
    x = 1,379,915,391,204/534,858
  6. Step 6: Final answer
    x = 2,579,965.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.