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Finding the Third Proportional to 597,546 and 1,399,823

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Solution

The third proportional to 597,546 and 1,399,823 is: 3,279,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,546 : 1,399,823 = 1,399,823 : x
  2. Step 2: Convert to fraction form
    597,546/1,399,823 = 1,399,823/x
  3. Step 3: Cross multiply
    597,546x = 1,399,823 × 1,399,823
  4. Step 4: Simplify right side
    597,546x = 1,959,504,431,329
  5. Step 5: Solve for x
    x = 1,959,504,431,329/597,546
  6. Step 6: Final answer
    x = 3,279,252.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.