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Finding the Third Proportional to 802,589.25 and 1,671,609

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Solution

The third proportional to 802,589.25 and 1,671,609 is: 3,481,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,589.25 : 1,671,609 = 1,671,609 : x
  2. Step 2: Convert to fraction form
    802,589.25/1,671,609 = 1,671,609/x
  3. Step 3: Cross multiply
    802,589.25x = 1,671,609 × 1,671,609
  4. Step 4: Simplify right side
    802,589.25x = 2,794,276,648,881
  5. Step 5: Solve for x
    x = 2,794,276,648,881/802,589.25
  6. Step 6: Final answer
    x = 3,481,577.47

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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.