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Finding the Third Proportional to 1,414,420 and 3,052,884

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Solution

The third proportional to 1,414,420 and 3,052,884 is: 6,589,344.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,414,420 : 3,052,884 = 3,052,884 : x
  2. Step 2: Convert to fraction form
    1,414,420/3,052,884 = 3,052,884/x
  3. Step 3: Cross multiply
    1,414,420x = 3,052,884 × 3,052,884
  4. Step 4: Simplify right side
    1,414,420x = 9,320,100,717,456
  5. Step 5: Solve for x
    x = 9,320,100,717,456/1,414,420
  6. Step 6: Final answer
    x = 6,589,344.55

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