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Finding the Third Proportional to 697,277 and 1,511,923

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Solution

The third proportional to 697,277 and 1,511,923 is: 3,278,340.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,277 : 1,511,923 = 1,511,923 : x
  2. Step 2: Convert to fraction form
    697,277/1,511,923 = 1,511,923/x
  3. Step 3: Cross multiply
    697,277x = 1,511,923 × 1,511,923
  4. Step 4: Simplify right side
    697,277x = 2,285,911,157,929
  5. Step 5: Solve for x
    x = 2,285,911,157,929/697,277
  6. Step 6: Final answer
    x = 3,278,340.11

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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.