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Finding the Third Proportional to 401,104 and 835,833

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Solution

The third proportional to 401,104 and 835,833 is: 1,741,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,104 : 835,833 = 835,833 : x
  2. Step 2: Convert to fraction form
    401,104/835,833 = 835,833/x
  3. Step 3: Cross multiply
    401,104x = 835,833 × 835,833
  4. Step 4: Simplify right side
    401,104x = 698,616,803,889
  5. Step 5: Solve for x
    x = 698,616,803,889/401,104
  6. Step 6: Final answer
    x = 1,741,734.82

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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.