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Finding the Third Proportional to 852,351 and 1,837,542

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Solution

The third proportional to 852,351 and 1,837,542 is: 3,961,467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,351 : 1,837,542 = 1,837,542 : x
  2. Step 2: Convert to fraction form
    852,351/1,837,542 = 1,837,542/x
  3. Step 3: Cross multiply
    852,351x = 1,837,542 × 1,837,542
  4. Step 4: Simplify right side
    852,351x = 3,376,560,601,764
  5. Step 5: Solve for x
    x = 3,376,560,601,764/852,351
  6. Step 6: Final answer
    x = 3,961,467.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.