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Finding the Third Proportional to 969,900 and 2,094,672

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Solution

The third proportional to 969,900 and 2,094,672 is: 4,523,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,900 : 2,094,672 = 2,094,672 : x
  2. Step 2: Convert to fraction form
    969,900/2,094,672 = 2,094,672/x
  3. Step 3: Cross multiply
    969,900x = 2,094,672 × 2,094,672
  4. Step 4: Simplify right side
    969,900x = 4,387,650,787,584
  5. Step 5: Solve for x
    x = 4,387,650,787,584/969,900
  6. Step 6: Final answer
    x = 4,523,817.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.