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Finding the Third Proportional to 844,138 and 1,848,370

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Solution

The third proportional to 844,138 and 1,848,370 is: 4,047,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,138 : 1,848,370 = 1,848,370 : x
  2. Step 2: Convert to fraction form
    844,138/1,848,370 = 1,848,370/x
  3. Step 3: Cross multiply
    844,138x = 1,848,370 × 1,848,370
  4. Step 4: Simplify right side
    844,138x = 3,416,471,656,900
  5. Step 5: Solve for x
    x = 3,416,471,656,900/844,138
  6. Step 6: Final answer
    x = 4,047,290.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.