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Finding the Third Proportional to 744,443 and 1,630,661

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Solution

The third proportional to 744,443 and 1,630,661 is: 3,571,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,443 : 1,630,661 = 1,630,661 : x
  2. Step 2: Convert to fraction form
    744,443/1,630,661 = 1,630,661/x
  3. Step 3: Cross multiply
    744,443x = 1,630,661 × 1,630,661
  4. Step 4: Simplify right side
    744,443x = 2,659,055,296,921
  5. Step 5: Solve for x
    x = 2,659,055,296,921/744,443
  6. Step 6: Final answer
    x = 3,571,872.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.