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Finding the Third Proportional to 1,536,832 and 2,255,424

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Solution

The third proportional to 1,536,832 and 2,255,424 is: 3,310,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536,832 : 2,255,424 = 2,255,424 : x
  2. Step 2: Convert to fraction form
    1,536,832/2,255,424 = 2,255,424/x
  3. Step 3: Cross multiply
    1,536,832x = 2,255,424 × 2,255,424
  4. Step 4: Simplify right side
    1,536,832x = 5,086,937,419,776
  5. Step 5: Solve for x
    x = 5,086,937,419,776/1,536,832
  6. Step 6: Final answer
    x = 3,310,015.29

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Why These Related Problems?

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