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Finding the Third Proportional to 811,069 and 1,673,546

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Solution

The third proportional to 811,069 and 1,673,546 is: 3,453,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,069 : 1,673,546 = 1,673,546 : x
  2. Step 2: Convert to fraction form
    811,069/1,673,546 = 1,673,546/x
  3. Step 3: Cross multiply
    811,069x = 1,673,546 × 1,673,546
  4. Step 4: Simplify right side
    811,069x = 2,800,756,214,116
  5. Step 5: Solve for x
    x = 2,800,756,214,116/811,069
  6. Step 6: Final answer
    x = 3,453,166.39

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.