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Finding the Third Proportional to 1,659,138 and 2,638,146

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Solution

The third proportional to 1,659,138 and 2,638,146 is: 4,194,837.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659,138 : 2,638,146 = 2,638,146 : x
  2. Step 2: Convert to fraction form
    1,659,138/2,638,146 = 2,638,146/x
  3. Step 3: Cross multiply
    1,659,138x = 2,638,146 × 2,638,146
  4. Step 4: Simplify right side
    1,659,138x = 6,959,814,317,316
  5. Step 5: Solve for x
    x = 6,959,814,317,316/1,659,138
  6. Step 6: Final answer
    x = 4,194,837.51

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.