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Finding the Third Proportional to 599,355 and 1,274,992

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Solution

The third proportional to 599,355 and 1,274,992 is: 2,712,256.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,355 : 1,274,992 = 1,274,992 : x
  2. Step 2: Convert to fraction form
    599,355/1,274,992 = 1,274,992/x
  3. Step 3: Cross multiply
    599,355x = 1,274,992 × 1,274,992
  4. Step 4: Simplify right side
    599,355x = 1,625,604,600,064
  5. Step 5: Solve for x
    x = 1,625,604,600,064/599,355
  6. Step 6: Final answer
    x = 2,712,256.68

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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.