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Finding the Third Proportional to 808,530 and 1,640,819

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Solution

The third proportional to 808,530 and 1,640,819 is: 3,329,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,530 : 1,640,819 = 1,640,819 : x
  2. Step 2: Convert to fraction form
    808,530/1,640,819 = 1,640,819/x
  3. Step 3: Cross multiply
    808,530x = 1,640,819 × 1,640,819
  4. Step 4: Simplify right side
    808,530x = 2,692,286,990,761
  5. Step 5: Solve for x
    x = 2,692,286,990,761/808,530
  6. Step 6: Final answer
    x = 3,329,854.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.