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Finding the Third Proportional to 685,700 and 1,493,256

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Solution

The third proportional to 685,700 and 1,493,256 is: 3,251,879.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,700 : 1,493,256 = 1,493,256 : x
  2. Step 2: Convert to fraction form
    685,700/1,493,256 = 1,493,256/x
  3. Step 3: Cross multiply
    685,700x = 1,493,256 × 1,493,256
  4. Step 4: Simplify right side
    685,700x = 2,229,813,481,536
  5. Step 5: Solve for x
    x = 2,229,813,481,536/685,700
  6. Step 6: Final answer
    x = 3,251,879.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.