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Finding the Third Proportional to 401,748 and 836,782

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Solution

The third proportional to 401,748 and 836,782 is: 1,742,893.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,748 : 836,782 = 836,782 : x
  2. Step 2: Convert to fraction form
    401,748/836,782 = 836,782/x
  3. Step 3: Cross multiply
    401,748x = 836,782 × 836,782
  4. Step 4: Simplify right side
    401,748x = 700,204,115,524
  5. Step 5: Solve for x
    x = 700,204,115,524/401,748
  6. Step 6: Final answer
    x = 1,742,893.84

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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.