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Finding the Third Proportional to 550,834 and 1,167,796

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Solution

The third proportional to 550,834 and 1,167,796 is: 2,475,786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,834 : 1,167,796 = 1,167,796 : x
  2. Step 2: Convert to fraction form
    550,834/1,167,796 = 1,167,796/x
  3. Step 3: Cross multiply
    550,834x = 1,167,796 × 1,167,796
  4. Step 4: Simplify right side
    550,834x = 1,363,747,497,616
  5. Step 5: Solve for x
    x = 1,363,747,497,616/550,834
  6. Step 6: Final answer
    x = 2,475,786.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.