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Finding the Third Proportional to 857,796 and 1,261,734

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Solution

The third proportional to 857,796 and 1,261,734 is: 1,855,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,796 : 1,261,734 = 1,261,734 : x
  2. Step 2: Convert to fraction form
    857,796/1,261,734 = 1,261,734/x
  3. Step 3: Cross multiply
    857,796x = 1,261,734 × 1,261,734
  4. Step 4: Simplify right side
    857,796x = 1,591,972,686,756
  5. Step 5: Solve for x
    x = 1,591,972,686,756/857,796
  6. Step 6: Final answer
    x = 1,855,887.28

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Why These Related Problems?

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