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Finding the Third Proportional to 811,660 and 1,261,698

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Solution

The third proportional to 811,660 and 1,261,698 is: 1,961,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,660 : 1,261,698 = 1,261,698 : x
  2. Step 2: Convert to fraction form
    811,660/1,261,698 = 1,261,698/x
  3. Step 3: Cross multiply
    811,660x = 1,261,698 × 1,261,698
  4. Step 4: Simplify right side
    811,660x = 1,591,881,843,204
  5. Step 5: Solve for x
    x = 1,591,881,843,204/811,660
  6. Step 6: Final answer
    x = 1,961,266.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.