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Finding the Third Proportional to 805,110 and 1,645,176

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Solution

The third proportional to 805,110 and 1,645,176 is: 3,361,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,110 : 1,645,176 = 1,645,176 : x
  2. Step 2: Convert to fraction form
    805,110/1,645,176 = 1,645,176/x
  3. Step 3: Cross multiply
    805,110x = 1,645,176 × 1,645,176
  4. Step 4: Simplify right side
    805,110x = 2,706,604,070,976
  5. Step 5: Solve for x
    x = 2,706,604,070,976/805,110
  6. Step 6: Final answer
    x = 3,361,781.71

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.