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Finding the Third Proportional to 929,340 and 2,033,640

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Solution

The third proportional to 929,340 and 2,033,640 is: 4,450,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,340 : 2,033,640 = 2,033,640 : x
  2. Step 2: Convert to fraction form
    929,340/2,033,640 = 2,033,640/x
  3. Step 3: Cross multiply
    929,340x = 2,033,640 × 2,033,640
  4. Step 4: Simplify right side
    929,340x = 4,135,691,649,600
  5. Step 5: Solve for x
    x = 4,135,691,649,600/929,340
  6. Step 6: Final answer
    x = 4,450,138.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.