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Finding the Third Proportional to 903,296 and 1,962,589

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Solution

The third proportional to 903,296 and 1,962,589 is: 4,264,112.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    903,296 : 1,962,589 = 1,962,589 : x
  2. Step 2: Convert to fraction form
    903,296/1,962,589 = 1,962,589/x
  3. Step 3: Cross multiply
    903,296x = 1,962,589 × 1,962,589
  4. Step 4: Simplify right side
    903,296x = 3,851,755,582,921
  5. Step 5: Solve for x
    x = 3,851,755,582,921/903,296
  6. Step 6: Final answer
    x = 4,264,112.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.