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Finding the Third Proportional to 2,245,851 and 4,870,042

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Solution

The third proportional to 2,245,851 and 4,870,042 is: 10,560,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245,851 : 4,870,042 = 4,870,042 : x
  2. Step 2: Convert to fraction form
    2,245,851/4,870,042 = 4,870,042/x
  3. Step 3: Cross multiply
    2,245,851x = 4,870,042 × 4,870,042
  4. Step 4: Simplify right side
    2,245,851x = 23,717,309,081,764
  5. Step 5: Solve for x
    x = 23,717,309,081,764/2,245,851
  6. Step 6: Final answer
    x = 10,560,499.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.