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Finding the Third Proportional to 844,771 and 1,838,258

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Solution

The third proportional to 844,771 and 1,838,258 is: 4,000,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,771 : 1,838,258 = 1,838,258 : x
  2. Step 2: Convert to fraction form
    844,771/1,838,258 = 1,838,258/x
  3. Step 3: Cross multiply
    844,771x = 1,838,258 × 1,838,258
  4. Step 4: Simplify right side
    844,771x = 3,379,192,474,564
  5. Step 5: Solve for x
    x = 3,379,192,474,564/844,771
  6. Step 6: Final answer
    x = 4,000,128.41

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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.