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Finding the Third Proportional to 1,449,114 and 3,178,164

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Solution

The third proportional to 1,449,114 and 3,178,164 is: 6,970,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449,114 : 3,178,164 = 3,178,164 : x
  2. Step 2: Convert to fraction form
    1,449,114/3,178,164 = 3,178,164/x
  3. Step 3: Cross multiply
    1,449,114x = 3,178,164 × 3,178,164
  4. Step 4: Simplify right side
    1,449,114x = 10,100,726,410,896
  5. Step 5: Solve for x
    x = 10,100,726,410,896/1,449,114
  6. Step 6: Final answer
    x = 6,970,277.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.