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Finding the Third Proportional to 599,418 and 1,284,336

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Solution

The third proportional to 599,418 and 1,284,336 is: 2,751,867.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,418 : 1,284,336 = 1,284,336 : x
  2. Step 2: Convert to fraction form
    599,418/1,284,336 = 1,284,336/x
  3. Step 3: Cross multiply
    599,418x = 1,284,336 × 1,284,336
  4. Step 4: Simplify right side
    599,418x = 1,649,518,960,896
  5. Step 5: Solve for x
    x = 1,649,518,960,896/599,418
  6. Step 6: Final answer
    x = 2,751,867.58

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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.