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Finding the Third Proportional to 1,605,702 and 2,364,198

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Solution

The third proportional to 1,605,702 and 2,364,198 is: 3,480,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,702 : 2,364,198 = 2,364,198 : x
  2. Step 2: Convert to fraction form
    1,605,702/2,364,198 = 2,364,198/x
  3. Step 3: Cross multiply
    1,605,702x = 2,364,198 × 2,364,198
  4. Step 4: Simplify right side
    1,605,702x = 5,589,432,183,204
  5. Step 5: Solve for x
    x = 5,589,432,183,204/1,605,702
  6. Step 6: Final answer
    x = 3,480,989.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.