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Finding the Third Proportional to 1,397,728 and 3,057,164

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Solution

The third proportional to 1,397,728 and 3,057,164 is: 6,686,745.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397,728 : 3,057,164 = 3,057,164 : x
  2. Step 2: Convert to fraction form
    1,397,728/3,057,164 = 3,057,164/x
  3. Step 3: Cross multiply
    1,397,728x = 3,057,164 × 3,057,164
  4. Step 4: Simplify right side
    1,397,728x = 9,346,251,722,896
  5. Step 5: Solve for x
    x = 9,346,251,722,896/1,397,728
  6. Step 6: Final answer
    x = 6,686,745.72

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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.