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Finding the Third Proportional to 774,758 and 1,674,004

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Solution

The third proportional to 774,758 and 1,674,004 is: 3,616,986.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,758 : 1,674,004 = 1,674,004 : x
  2. Step 2: Convert to fraction form
    774,758/1,674,004 = 1,674,004/x
  3. Step 3: Cross multiply
    774,758x = 1,674,004 × 1,674,004
  4. Step 4: Simplify right side
    774,758x = 2,802,289,392,016
  5. Step 5: Solve for x
    x = 2,802,289,392,016/774,758
  6. Step 6: Final answer
    x = 3,616,986.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.