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Finding the Third Proportional to 834,138 and 1,821,183.75

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Solution

The third proportional to 834,138 and 1,821,183.75 is: 3,976,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,138 : 1,821,183.75 = 1,821,183.75 : x
  2. Step 2: Convert to fraction form
    834,138/1,821,183.75 = 1,821,183.75/x
  3. Step 3: Cross multiply
    834,138x = 1,821,183.75 × 1,821,183.75
  4. Step 4: Simplify right side
    834,138x = 3,316,710,251,264.06
  5. Step 5: Solve for x
    x = 3,316,710,251,264.06/834,138
  6. Step 6: Final answer
    x = 3,976,212.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.