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Finding the Third Proportional to 802,593 and 1,671,616

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Solution

The third proportional to 802,593 and 1,671,616 is: 3,481,590.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,593 : 1,671,616 = 1,671,616 : x
  2. Step 2: Convert to fraction form
    802,593/1,671,616 = 1,671,616/x
  3. Step 3: Cross multiply
    802,593x = 1,671,616 × 1,671,616
  4. Step 4: Simplify right side
    802,593x = 2,794,300,051,456
  5. Step 5: Solve for x
    x = 2,794,300,051,456/802,593
  6. Step 6: Final answer
    x = 3,481,590.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.