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Finding the Third Proportional to 677,844 and 1,338,680

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Solution

The third proportional to 677,844 and 1,338,680 is: 2,643,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,844 : 1,338,680 = 1,338,680 : x
  2. Step 2: Convert to fraction form
    677,844/1,338,680 = 1,338,680/x
  3. Step 3: Cross multiply
    677,844x = 1,338,680 × 1,338,680
  4. Step 4: Simplify right side
    677,844x = 1,792,064,142,400
  5. Step 5: Solve for x
    x = 1,792,064,142,400/677,844
  6. Step 6: Final answer
    x = 2,643,770.75

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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.