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Finding the Third Proportional to 891,976 and 1,923,920

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Solution

The third proportional to 891,976 and 1,923,920 is: 4,149,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,976 : 1,923,920 = 1,923,920 : x
  2. Step 2: Convert to fraction form
    891,976/1,923,920 = 1,923,920/x
  3. Step 3: Cross multiply
    891,976x = 1,923,920 × 1,923,920
  4. Step 4: Simplify right side
    891,976x = 3,701,468,166,400
  5. Step 5: Solve for x
    x = 3,701,468,166,400/891,976
  6. Step 6: Final answer
    x = 4,149,739.64

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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.