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Finding the Third Proportional to 441,862 and 969,744

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Solution

The third proportional to 441,862 and 969,744 is: 2,128,274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,862 : 969,744 = 969,744 : x
  2. Step 2: Convert to fraction form
    441,862/969,744 = 969,744/x
  3. Step 3: Cross multiply
    441,862x = 969,744 × 969,744
  4. Step 4: Simplify right side
    441,862x = 940,403,425,536
  5. Step 5: Solve for x
    x = 940,403,425,536/441,862
  6. Step 6: Final answer
    x = 2,128,274.04

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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.