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Finding the Third Proportional to 857,679 and 1,826,286

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Solution

The third proportional to 857,679 and 1,826,286 is: 3,888,774.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,679 : 1,826,286 = 1,826,286 : x
  2. Step 2: Convert to fraction form
    857,679/1,826,286 = 1,826,286/x
  3. Step 3: Cross multiply
    857,679x = 1,826,286 × 1,826,286
  4. Step 4: Simplify right side
    857,679x = 3,335,320,553,796
  5. Step 5: Solve for x
    x = 3,335,320,553,796/857,679
  6. Step 6: Final answer
    x = 3,888,774.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.