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Finding the Third Proportional to 844,751 and 1,838,224

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Solution

The third proportional to 844,751 and 1,838,224 is: 4,000,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,751 : 1,838,224 = 1,838,224 : x
  2. Step 2: Convert to fraction form
    844,751/1,838,224 = 1,838,224/x
  3. Step 3: Cross multiply
    844,751x = 1,838,224 × 1,838,224
  4. Step 4: Simplify right side
    844,751x = 3,379,067,474,176
  5. Step 5: Solve for x
    x = 3,379,067,474,176/844,751
  6. Step 6: Final answer
    x = 4,000,075.14

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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.