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Finding the Third Proportional to 697,852 and 1,511,636

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Solution

The third proportional to 697,852 and 1,511,636 is: 3,274,395.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,852 : 1,511,636 = 1,511,636 : x
  2. Step 2: Convert to fraction form
    697,852/1,511,636 = 1,511,636/x
  3. Step 3: Cross multiply
    697,852x = 1,511,636 × 1,511,636
  4. Step 4: Simplify right side
    697,852x = 2,285,043,396,496
  5. Step 5: Solve for x
    x = 2,285,043,396,496/697,852
  6. Step 6: Final answer
    x = 3,274,395.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.