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Finding the Third Proportional to 1,536,728 and 2,255,266

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Solution

The third proportional to 1,536,728 and 2,255,266 is: 3,309,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,728 : 2,255,266 = 2,255,266 : x
  2. Step 2: Convert to fraction form
    1,536,728/2,255,266 = 2,255,266/x
  3. Step 3: Cross multiply
    1,536,728x = 2,255,266 × 2,255,266
  4. Step 4: Simplify right side
    1,536,728x = 5,086,224,730,756
  5. Step 5: Solve for x
    x = 5,086,224,730,756/1,536,728
  6. Step 6: Final answer
    x = 3,309,775.53

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.