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Finding the Third Proportional to 809,190 and 1,744,587

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Solution

The third proportional to 809,190 and 1,744,587 is: 3,761,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,190 : 1,744,587 = 1,744,587 : x
  2. Step 2: Convert to fraction form
    809,190/1,744,587 = 1,744,587/x
  3. Step 3: Cross multiply
    809,190x = 1,744,587 × 1,744,587
  4. Step 4: Simplify right side
    809,190x = 3,043,583,800,569
  5. Step 5: Solve for x
    x = 3,043,583,800,569/809,190
  6. Step 6: Final answer
    x = 3,761,272.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.