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Finding the Third Proportional to 844,743 and 1,838,199

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Solution

The third proportional to 844,743 and 1,838,199 is: 4,000,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,743 : 1,838,199 = 1,838,199 : x
  2. Step 2: Convert to fraction form
    844,743/1,838,199 = 1,838,199/x
  3. Step 3: Cross multiply
    844,743x = 1,838,199 × 1,838,199
  4. Step 4: Simplify right side
    844,743x = 3,378,975,563,601
  5. Step 5: Solve for x
    x = 3,378,975,563,601/844,743
  6. Step 6: Final answer
    x = 4,000,004.22

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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.