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Finding the Third Proportional to 857,761 and 1,261,684

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Solution

The third proportional to 857,761 and 1,261,684 is: 1,855,815.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,761 : 1,261,684 = 1,261,684 : x
  2. Step 2: Convert to fraction form
    857,761/1,261,684 = 1,261,684/x
  3. Step 3: Cross multiply
    857,761x = 1,261,684 × 1,261,684
  4. Step 4: Simplify right side
    857,761x = 1,591,846,515,856
  5. Step 5: Solve for x
    x = 1,591,846,515,856/857,761
  6. Step 6: Final answer
    x = 1,855,815.92

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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.