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Finding the Third Proportional to 2,203,816 and 4,630,720

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Solution

The third proportional to 2,203,816 and 4,630,720 is: 9,730,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203,816 : 4,630,720 = 4,630,720 : x
  2. Step 2: Convert to fraction form
    2,203,816/4,630,720 = 4,630,720/x
  3. Step 3: Cross multiply
    2,203,816x = 4,630,720 × 4,630,720
  4. Step 4: Simplify right side
    2,203,816x = 21,443,567,718,400
  5. Step 5: Solve for x
    x = 21,443,567,718,400/2,203,816
  6. Step 6: Final answer
    x = 9,730,198.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.