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Finding the Third Proportional to 534,936 and 1,165,830

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Solution

The third proportional to 534,936 and 1,165,830 is: 2,540,789.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,936 : 1,165,830 = 1,165,830 : x
  2. Step 2: Convert to fraction form
    534,936/1,165,830 = 1,165,830/x
  3. Step 3: Cross multiply
    534,936x = 1,165,830 × 1,165,830
  4. Step 4: Simplify right side
    534,936x = 1,359,159,588,900
  5. Step 5: Solve for x
    x = 1,359,159,588,900/534,936
  6. Step 6: Final answer
    x = 2,540,789.16

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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.