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Finding the Third Proportional to 697,859 and 1,511,649

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Solution

The third proportional to 697,859 and 1,511,649 is: 3,274,418.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,859 : 1,511,649 = 1,511,649 : x
  2. Step 2: Convert to fraction form
    697,859/1,511,649 = 1,511,649/x
  3. Step 3: Cross multiply
    697,859x = 1,511,649 × 1,511,649
  4. Step 4: Simplify right side
    697,859x = 2,285,082,699,201
  5. Step 5: Solve for x
    x = 2,285,082,699,201/697,859
  6. Step 6: Final answer
    x = 3,274,418.90

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Why These Related Problems?

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