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Finding the Third Proportional to 892,404 and 1,739,975

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Solution

The third proportional to 892,404 and 1,739,975 is: 3,392,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,404 : 1,739,975 = 1,739,975 : x
  2. Step 2: Convert to fraction form
    892,404/1,739,975 = 1,739,975/x
  3. Step 3: Cross multiply
    892,404x = 1,739,975 × 1,739,975
  4. Step 4: Simplify right side
    892,404x = 3,027,513,000,625
  5. Step 5: Solve for x
    x = 3,027,513,000,625/892,404
  6. Step 6: Final answer
    x = 3,392,536.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.