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Finding the Third Proportional to 685,540 and 1,476,344

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Solution

The third proportional to 685,540 and 1,476,344 is: 3,179,379.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,540 : 1,476,344 = 1,476,344 : x
  2. Step 2: Convert to fraction form
    685,540/1,476,344 = 1,476,344/x
  3. Step 3: Cross multiply
    685,540x = 1,476,344 × 1,476,344
  4. Step 4: Simplify right side
    685,540x = 2,179,591,606,336
  5. Step 5: Solve for x
    x = 2,179,591,606,336/685,540
  6. Step 6: Final answer
    x = 3,179,379.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.