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Finding the Third Proportional to 444,998 and 980,770

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Solution

The third proportional to 444,998 and 980,770 is: 2,161,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,998 : 980,770 = 980,770 : x
  2. Step 2: Convert to fraction form
    444,998/980,770 = 980,770/x
  3. Step 3: Cross multiply
    444,998x = 980,770 × 980,770
  4. Step 4: Simplify right side
    444,998x = 961,909,792,900
  5. Step 5: Solve for x
    x = 961,909,792,900/444,998
  6. Step 6: Final answer
    x = 2,161,604.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.