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Finding the Third Proportional to 401,954 and 879,244

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Solution

The third proportional to 401,954 and 879,244 is: 1,923,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,954 : 879,244 = 879,244 : x
  2. Step 2: Convert to fraction form
    401,954/879,244 = 879,244/x
  3. Step 3: Cross multiply
    401,954x = 879,244 × 879,244
  4. Step 4: Simplify right side
    401,954x = 773,070,011,536
  5. Step 5: Solve for x
    x = 773,070,011,536/401,954
  6. Step 6: Final answer
    x = 1,923,279.81

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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.