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Finding the Third Proportional to 401,951 and 836,979

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Solution

The third proportional to 401,951 and 836,979 is: 1,742,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,951 : 836,979 = 836,979 : x
  2. Step 2: Convert to fraction form
    401,951/836,979 = 836,979/x
  3. Step 3: Cross multiply
    401,951x = 836,979 × 836,979
  4. Step 4: Simplify right side
    401,951x = 700,533,846,441
  5. Step 5: Solve for x
    x = 700,533,846,441/401,951
  6. Step 6: Final answer
    x = 1,742,833.94

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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.