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Finding the Third Proportional to 534,866 and 1,174,714

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Solution

The third proportional to 534,866 and 1,174,714 is: 2,579,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,866 : 1,174,714 = 1,174,714 : x
  2. Step 2: Convert to fraction form
    534,866/1,174,714 = 1,174,714/x
  3. Step 3: Cross multiply
    534,866x = 1,174,714 × 1,174,714
  4. Step 4: Simplify right side
    534,866x = 1,379,952,981,796
  5. Step 5: Solve for x
    x = 1,379,952,981,796/534,866
  6. Step 6: Final answer
    x = 2,579,997.57

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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.