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Finding the Third Proportional to 852,185.25 and 1,824,075

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Solution

The third proportional to 852,185.25 and 1,824,075 is: 3,904,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,185.25 : 1,824,075 = 1,824,075 : x
  2. Step 2: Convert to fraction form
    852,185.25/1,824,075 = 1,824,075/x
  3. Step 3: Cross multiply
    852,185.25x = 1,824,075 × 1,824,075
  4. Step 4: Simplify right side
    852,185.25x = 3,327,249,605,625
  5. Step 5: Solve for x
    x = 3,327,249,605,625/852,185.25
  6. Step 6: Final answer
    x = 3,904,373.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.