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Finding the Third Proportional to 599,420.25 and 1,284,126.75

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Solution

The third proportional to 599,420.25 and 1,284,126.75 is: 2,750,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,420.25 : 1,284,126.75 = 1,284,126.75 : x
  2. Step 2: Convert to fraction form
    599,420.25/1,284,126.75 = 1,284,126.75/x
  3. Step 3: Cross multiply
    599,420.25x = 1,284,126.75 × 1,284,126.75
  4. Step 4: Simplify right side
    599,420.25x = 1,648,981,510,065.56
  5. Step 5: Solve for x
    x = 1,648,981,510,065.56/599,420.25
  6. Step 6: Final answer
    x = 2,750,960.63

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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.