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Finding the Third Proportional to 1,438,341 and 3,100,857

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Solution

The third proportional to 1,438,341 and 3,100,857 is: 6,685,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438,341 : 3,100,857 = 3,100,857 : x
  2. Step 2: Convert to fraction form
    1,438,341/3,100,857 = 3,100,857/x
  3. Step 3: Cross multiply
    1,438,341x = 3,100,857 × 3,100,857
  4. Step 4: Simplify right side
    1,438,341x = 9,615,314,134,449
  5. Step 5: Solve for x
    x = 9,615,314,134,449/1,438,341
  6. Step 6: Final answer
    x = 6,685,003.16

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Why These Related Problems?

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