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Finding the Third Proportional to 809,498 and 1,741,462

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Solution

The third proportional to 809,498 and 1,741,462 is: 3,746,383.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,498 : 1,741,462 = 1,741,462 : x
  2. Step 2: Convert to fraction form
    809,498/1,741,462 = 1,741,462/x
  3. Step 3: Cross multiply
    809,498x = 1,741,462 × 1,741,462
  4. Step 4: Simplify right side
    809,498x = 3,032,689,897,444
  5. Step 5: Solve for x
    x = 3,032,689,897,444/809,498
  6. Step 6: Final answer
    x = 3,746,383.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.