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Finding the Third Proportional to 522,075 and 1,105,926

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Solution

The third proportional to 522,075 and 1,105,926 is: 2,342,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,075 : 1,105,926 = 1,105,926 : x
  2. Step 2: Convert to fraction form
    522,075/1,105,926 = 1,105,926/x
  3. Step 3: Cross multiply
    522,075x = 1,105,926 × 1,105,926
  4. Step 4: Simplify right side
    522,075x = 1,223,072,317,476
  5. Step 5: Solve for x
    x = 1,223,072,317,476/522,075
  6. Step 6: Final answer
    x = 2,342,713.82

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.