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Finding the Third Proportional to 823,106 and 1,735,879

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Solution

The third proportional to 823,106 and 1,735,879 is: 3,660,860.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,106 : 1,735,879 = 1,735,879 : x
  2. Step 2: Convert to fraction form
    823,106/1,735,879 = 1,735,879/x
  3. Step 3: Cross multiply
    823,106x = 1,735,879 × 1,735,879
  4. Step 4: Simplify right side
    823,106x = 3,013,275,902,641
  5. Step 5: Solve for x
    x = 3,013,275,902,641/823,106
  6. Step 6: Final answer
    x = 3,660,860.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.