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Finding the Third Proportional to 949,573 and 2,196,375

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Solution

The third proportional to 949,573 and 2,196,375 is: 5,080,244.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,573 : 2,196,375 = 2,196,375 : x
  2. Step 2: Convert to fraction form
    949,573/2,196,375 = 2,196,375/x
  3. Step 3: Cross multiply
    949,573x = 2,196,375 × 2,196,375
  4. Step 4: Simplify right side
    949,573x = 4,824,063,140,625
  5. Step 5: Solve for x
    x = 4,824,063,140,625/949,573
  6. Step 6: Final answer
    x = 5,080,244.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.