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Finding the Third Proportional to 829,976 and 1,810,720

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Solution

The third proportional to 829,976 and 1,810,720 is: 3,950,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,976 : 1,810,720 = 1,810,720 : x
  2. Step 2: Convert to fraction form
    829,976/1,810,720 = 1,810,720/x
  3. Step 3: Cross multiply
    829,976x = 1,810,720 × 1,810,720
  4. Step 4: Simplify right side
    829,976x = 3,278,706,918,400
  5. Step 5: Solve for x
    x = 3,278,706,918,400/829,976
  6. Step 6: Final answer
    x = 3,950,363.53

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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.