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Finding the Third Proportional to 441,857 and 969,736

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Solution

The third proportional to 441,857 and 969,736 is: 2,128,263.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,857 : 969,736 = 969,736 : x
  2. Step 2: Convert to fraction form
    441,857/969,736 = 969,736/x
  3. Step 3: Cross multiply
    441,857x = 969,736 × 969,736
  4. Step 4: Simplify right side
    441,857x = 940,387,909,696
  5. Step 5: Solve for x
    x = 940,387,909,696/441,857
  6. Step 6: Final answer
    x = 2,128,263.01

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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.