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Finding the Third Proportional to 401,954 and 836,984

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Solution

The third proportional to 401,954 and 836,984 is: 1,742,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,954 : 836,984 = 836,984 : x
  2. Step 2: Convert to fraction form
    401,954/836,984 = 836,984/x
  3. Step 3: Cross multiply
    401,954x = 836,984 × 836,984
  4. Step 4: Simplify right side
    401,954x = 700,542,216,256
  5. Step 5: Solve for x
    x = 700,542,216,256/401,954
  6. Step 6: Final answer
    x = 1,742,841.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.