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Finding the Third Proportional to 1,278,084 and 2,004,894

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Solution

The third proportional to 1,278,084 and 2,004,894 is: 3,145,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,084 : 2,004,894 = 2,004,894 : x
  2. Step 2: Convert to fraction form
    1,278,084/2,004,894 = 2,004,894/x
  3. Step 3: Cross multiply
    1,278,084x = 2,004,894 × 2,004,894
  4. Step 4: Simplify right side
    1,278,084x = 4,019,599,951,236
  5. Step 5: Solve for x
    x = 4,019,599,951,236/1,278,084
  6. Step 6: Final answer
    x = 3,145,020.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.