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Finding the Third Proportional to 811,638 and 1,261,666

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Solution

The third proportional to 811,638 and 1,261,666 is: 1,961,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,638 : 1,261,666 = 1,261,666 : x
  2. Step 2: Convert to fraction form
    811,638/1,261,666 = 1,261,666/x
  3. Step 3: Cross multiply
    811,638x = 1,261,666 × 1,261,666
  4. Step 4: Simplify right side
    811,638x = 1,591,801,095,556
  5. Step 5: Solve for x
    x = 1,591,801,095,556/811,638
  6. Step 6: Final answer
    x = 1,961,220.51

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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.