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Finding the Third Proportional to 844,749 and 1,838,211

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Solution

The third proportional to 844,749 and 1,838,211 is: 4,000,028.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,749 : 1,838,211 = 1,838,211 : x
  2. Step 2: Convert to fraction form
    844,749/1,838,211 = 1,838,211/x
  3. Step 3: Cross multiply
    844,749x = 1,838,211 × 1,838,211
  4. Step 4: Simplify right side
    844,749x = 3,379,019,680,521
  5. Step 5: Solve for x
    x = 3,379,019,680,521/844,749
  6. Step 6: Final answer
    x = 4,000,028.03

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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.