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Finding the Third Proportional to 1,257,592 and 2,727,857

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Solution

The third proportional to 1,257,592 and 2,727,857 is: 5,917,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257,592 : 2,727,857 = 2,727,857 : x
  2. Step 2: Convert to fraction form
    1,257,592/2,727,857 = 2,727,857/x
  3. Step 3: Cross multiply
    1,257,592x = 2,727,857 × 2,727,857
  4. Step 4: Simplify right side
    1,257,592x = 7,441,203,812,449
  5. Step 5: Solve for x
    x = 7,441,203,812,449/1,257,592
  6. Step 6: Final answer
    x = 5,917,025.40

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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.