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Finding the Third Proportional to 1,738,974 and 3,709,062

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Solution

The third proportional to 1,738,974 and 3,709,062 is: 7,911,067.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,974 : 3,709,062 = 3,709,062 : x
  2. Step 2: Convert to fraction form
    1,738,974/3,709,062 = 3,709,062/x
  3. Step 3: Cross multiply
    1,738,974x = 3,709,062 × 3,709,062
  4. Step 4: Simplify right side
    1,738,974x = 13,757,140,919,844
  5. Step 5: Solve for x
    x = 13,757,140,919,844/1,738,974
  6. Step 6: Final answer
    x = 7,911,067.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.