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Finding the Third Proportional to 857,620 and 1,260,734

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Solution

The third proportional to 857,620 and 1,260,734 is: 1,853,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,620 : 1,260,734 = 1,260,734 : x
  2. Step 2: Convert to fraction form
    857,620/1,260,734 = 1,260,734/x
  3. Step 3: Cross multiply
    857,620x = 1,260,734 × 1,260,734
  4. Step 4: Simplify right side
    857,620x = 1,589,450,218,756
  5. Step 5: Solve for x
    x = 1,589,450,218,756/857,620
  6. Step 6: Final answer
    x = 1,853,326.90

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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.