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Finding the Third Proportional to 969,849 and 2,120,274

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Solution

The third proportional to 969,849 and 2,120,274 is: 4,635,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,849 : 2,120,274 = 2,120,274 : x
  2. Step 2: Convert to fraction form
    969,849/2,120,274 = 2,120,274/x
  3. Step 3: Cross multiply
    969,849x = 2,120,274 × 2,120,274
  4. Step 4: Simplify right side
    969,849x = 4,495,561,835,076
  5. Step 5: Solve for x
    x = 4,495,561,835,076/969,849
  6. Step 6: Final answer
    x = 4,635,321.41

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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.