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Finding the Third Proportional to 1,463,739 and 3,171,828

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Solution

The third proportional to 1,463,739 and 3,171,828 is: 6,873,146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,739 : 3,171,828 = 3,171,828 : x
  2. Step 2: Convert to fraction form
    1,463,739/3,171,828 = 3,171,828/x
  3. Step 3: Cross multiply
    1,463,739x = 3,171,828 × 3,171,828
  4. Step 4: Simplify right side
    1,463,739x = 10,060,492,861,584
  5. Step 5: Solve for x
    x = 10,060,492,861,584/1,463,739
  6. Step 6: Final answer
    x = 6,873,146.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.