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Finding the Third Proportional to 844,738 and 1,838,191

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Solution

The third proportional to 844,738 and 1,838,191 is: 3,999,993.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,738 : 1,838,191 = 1,838,191 : x
  2. Step 2: Convert to fraction form
    844,738/1,838,191 = 1,838,191/x
  3. Step 3: Cross multiply
    844,738x = 1,838,191 × 1,838,191
  4. Step 4: Simplify right side
    844,738x = 3,378,946,152,481
  5. Step 5: Solve for x
    x = 3,378,946,152,481/844,738
  6. Step 6: Final answer
    x = 3,999,993.08

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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.