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Finding the Third Proportional to 1,605,696 and 2,364,189

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Solution

The third proportional to 1,605,696 and 2,364,189 is: 3,480,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605,696 : 2,364,189 = 2,364,189 : x
  2. Step 2: Convert to fraction form
    1,605,696/2,364,189 = 2,364,189/x
  3. Step 3: Cross multiply
    1,605,696x = 2,364,189 × 2,364,189
  4. Step 4: Simplify right side
    1,605,696x = 5,589,389,627,721
  5. Step 5: Solve for x
    x = 5,589,389,627,721/1,605,696
  6. Step 6: Final answer
    x = 3,480,976.24

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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.