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Finding the Third Proportional to 857,740 and 1,261,662

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Solution

The third proportional to 857,740 and 1,261,662 is: 1,855,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,740 : 1,261,662 = 1,261,662 : x
  2. Step 2: Convert to fraction form
    857,740/1,261,662 = 1,261,662/x
  3. Step 3: Cross multiply
    857,740x = 1,261,662 × 1,261,662
  4. Step 4: Simplify right side
    857,740x = 1,591,791,002,244
  5. Step 5: Solve for x
    x = 1,591,791,002,244/857,740
  6. Step 6: Final answer
    x = 1,855,796.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.