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Finding the Third Proportional to 1,412,544 and 2,151,456

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Solution

The third proportional to 1,412,544 and 2,151,456 is: 3,276,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,544 : 2,151,456 = 2,151,456 : x
  2. Step 2: Convert to fraction form
    1,412,544/2,151,456 = 2,151,456/x
  3. Step 3: Cross multiply
    1,412,544x = 2,151,456 × 2,151,456
  4. Step 4: Simplify right side
    1,412,544x = 4,628,762,919,936
  5. Step 5: Solve for x
    x = 4,628,762,919,936/1,412,544
  6. Step 6: Final answer
    x = 3,276,898.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.