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Finding the Third Proportional to 677,970 and 1,338,930

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Solution

The third proportional to 677,970 and 1,338,930 is: 2,644,266.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,970 : 1,338,930 = 1,338,930 : x
  2. Step 2: Convert to fraction form
    677,970/1,338,930 = 1,338,930/x
  3. Step 3: Cross multiply
    677,970x = 1,338,930 × 1,338,930
  4. Step 4: Simplify right side
    677,970x = 1,792,733,544,900
  5. Step 5: Solve for x
    x = 1,792,733,544,900/677,970
  6. Step 6: Final answer
    x = 2,644,266.77

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.