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Finding the Third Proportional to 969,744 and 2,057,696

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Solution

The third proportional to 969,744 and 2,057,696 is: 4,366,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,744 : 2,057,696 = 2,057,696 : x
  2. Step 2: Convert to fraction form
    969,744/2,057,696 = 2,057,696/x
  3. Step 3: Cross multiply
    969,744x = 2,057,696 × 2,057,696
  4. Step 4: Simplify right side
    969,744x = 4,234,112,828,416
  5. Step 5: Solve for x
    x = 4,234,112,828,416/969,744
  6. Step 6: Final answer
    x = 4,366,217.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.