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Finding the Third Proportional to 534,846 and 1,174,656

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Solution

The third proportional to 534,846 and 1,174,656 is: 2,579,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,846 : 1,174,656 = 1,174,656 : x
  2. Step 2: Convert to fraction form
    534,846/1,174,656 = 1,174,656/x
  3. Step 3: Cross multiply
    534,846x = 1,174,656 × 1,174,656
  4. Step 4: Simplify right side
    534,846x = 1,379,816,718,336
  5. Step 5: Solve for x
    x = 1,379,816,718,336/534,846
  6. Step 6: Final answer
    x = 2,579,839.28

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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.