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Finding the Third Proportional to 2,086,005 and 4,331,880

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Solution

The third proportional to 2,086,005 and 4,331,880 is: 8,995,752.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086,005 : 4,331,880 = 4,331,880 : x
  2. Step 2: Convert to fraction form
    2,086,005/4,331,880 = 4,331,880/x
  3. Step 3: Cross multiply
    2,086,005x = 4,331,880 × 4,331,880
  4. Step 4: Simplify right side
    2,086,005x = 18,765,184,334,400
  5. Step 5: Solve for x
    x = 18,765,184,334,400/2,086,005
  6. Step 6: Final answer
    x = 8,995,752.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.