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Finding the Third Proportional to 969,636 and 2,061,828

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Solution

The third proportional to 969,636 and 2,061,828 is: 4,384,258.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,636 : 2,061,828 = 2,061,828 : x
  2. Step 2: Convert to fraction form
    969,636/2,061,828 = 2,061,828/x
  3. Step 3: Cross multiply
    969,636x = 2,061,828 × 2,061,828
  4. Step 4: Simplify right side
    969,636x = 4,251,134,701,584
  5. Step 5: Solve for x
    x = 4,251,134,701,584/969,636
  6. Step 6: Final answer
    x = 4,384,258.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.