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Finding the Third Proportional to 809,511 and 1,782,015

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Solution

The third proportional to 809,511 and 1,782,015 is: 3,922,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,511 : 1,782,015 = 1,782,015 : x
  2. Step 2: Convert to fraction form
    809,511/1,782,015 = 1,782,015/x
  3. Step 3: Cross multiply
    809,511x = 1,782,015 × 1,782,015
  4. Step 4: Simplify right side
    809,511x = 3,175,577,460,225
  5. Step 5: Solve for x
    x = 3,175,577,460,225/809,511
  6. Step 6: Final answer
    x = 3,922,834.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.