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Finding the Third Proportional to 1,741,974 and 2,691,657

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Solution

The third proportional to 1,741,974 and 2,691,657 is: 4,159,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,974 : 2,691,657 = 2,691,657 : x
  2. Step 2: Convert to fraction form
    1,741,974/2,691,657 = 2,691,657/x
  3. Step 3: Cross multiply
    1,741,974x = 2,691,657 × 2,691,657
  4. Step 4: Simplify right side
    1,741,974x = 7,245,017,405,649
  5. Step 5: Solve for x
    x = 7,245,017,405,649/1,741,974
  6. Step 6: Final answer
    x = 4,159,084.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.