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Finding the Third Proportional to 969,474 and 2,073,732

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Solution

The third proportional to 969,474 and 2,073,732 is: 4,435,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,474 : 2,073,732 = 2,073,732 : x
  2. Step 2: Convert to fraction form
    969,474/2,073,732 = 2,073,732/x
  3. Step 3: Cross multiply
    969,474x = 2,073,732 × 2,073,732
  4. Step 4: Simplify right side
    969,474x = 4,300,364,407,824
  5. Step 5: Solve for x
    x = 4,300,364,407,824/969,474
  6. Step 6: Final answer
    x = 4,435,770.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.