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Finding the Third Proportional to 857,736 and 1,261,653

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Solution

The third proportional to 857,736 and 1,261,653 is: 1,855,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,736 : 1,261,653 = 1,261,653 : x
  2. Step 2: Convert to fraction form
    857,736/1,261,653 = 1,261,653/x
  3. Step 3: Cross multiply
    857,736x = 1,261,653 × 1,261,653
  4. Step 4: Simplify right side
    857,736x = 1,591,768,292,409
  5. Step 5: Solve for x
    x = 1,591,768,292,409/857,736
  6. Step 6: Final answer
    x = 1,855,778.81

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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.