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Finding the Third Proportional to 969,038 and 2,122,672

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Solution

The third proportional to 969,038 and 2,122,672 is: 4,649,700.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,038 : 2,122,672 = 2,122,672 : x
  2. Step 2: Convert to fraction form
    969,038/2,122,672 = 2,122,672/x
  3. Step 3: Cross multiply
    969,038x = 2,122,672 × 2,122,672
  4. Step 4: Simplify right side
    969,038x = 4,505,736,419,584
  5. Step 5: Solve for x
    x = 4,505,736,419,584/969,038
  6. Step 6: Final answer
    x = 4,649,700.44

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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.