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Finding the Third Proportional to 599,378 and 1,275,036

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Solution

The third proportional to 599,378 and 1,275,036 is: 2,712,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,378 : 1,275,036 = 1,275,036 : x
  2. Step 2: Convert to fraction form
    599,378/1,275,036 = 1,275,036/x
  3. Step 3: Cross multiply
    599,378x = 1,275,036 × 1,275,036
  4. Step 4: Simplify right side
    599,378x = 1,625,716,801,296
  5. Step 5: Solve for x
    x = 1,625,716,801,296/599,378
  6. Step 6: Final answer
    x = 2,712,339.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.