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Finding the Third Proportional to 599,412 and 1,284,324

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Solution

The third proportional to 599,412 and 1,284,324 is: 2,751,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,412 : 1,284,324 = 1,284,324 : x
  2. Step 2: Convert to fraction form
    599,412/1,284,324 = 1,284,324/x
  3. Step 3: Cross multiply
    599,412x = 1,284,324 × 1,284,324
  4. Step 4: Simplify right side
    599,412x = 1,649,488,136,976
  5. Step 5: Solve for x
    x = 1,649,488,136,976/599,412
  6. Step 6: Final answer
    x = 2,751,843.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.