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Finding the Third Proportional to 401,953 and 836,983

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Solution

The third proportional to 401,953 and 836,983 is: 1,742,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,953 : 836,983 = 836,983 : x
  2. Step 2: Convert to fraction form
    401,953/836,983 = 836,983/x
  3. Step 3: Cross multiply
    401,953x = 836,983 × 836,983
  4. Step 4: Simplify right side
    401,953x = 700,540,542,289
  5. Step 5: Solve for x
    x = 700,540,542,289/401,953
  6. Step 6: Final answer
    x = 1,742,841.93

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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.