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Finding the Third Proportional to 542,859 and 1,175,075

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Solution

The third proportional to 542,859 and 1,175,075 is: 2,543,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,859 : 1,175,075 = 1,175,075 : x
  2. Step 2: Convert to fraction form
    542,859/1,175,075 = 1,175,075/x
  3. Step 3: Cross multiply
    542,859x = 1,175,075 × 1,175,075
  4. Step 4: Simplify right side
    542,859x = 1,380,801,255,625
  5. Step 5: Solve for x
    x = 1,380,801,255,625/542,859
  6. Step 6: Final answer
    x = 2,543,572.56

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Why These Related Problems?

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