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Finding the Third Proportional to 663,193 and 1,001,092

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Solution

The third proportional to 663,193 and 1,001,092 is: 1,511,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,193 : 1,001,092 = 1,001,092 : x
  2. Step 2: Convert to fraction form
    663,193/1,001,092 = 1,001,092/x
  3. Step 3: Cross multiply
    663,193x = 1,001,092 × 1,001,092
  4. Step 4: Simplify right side
    663,193x = 1,002,185,192,464
  5. Step 5: Solve for x
    x = 1,002,185,192,464/663,193
  6. Step 6: Final answer
    x = 1,511,151.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.