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Finding the Third Proportional to 734,022 and 1,617,054

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Solution

The third proportional to 734,022 and 1,617,054 is: 3,562,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,022 : 1,617,054 = 1,617,054 : x
  2. Step 2: Convert to fraction form
    734,022/1,617,054 = 1,617,054/x
  3. Step 3: Cross multiply
    734,022x = 1,617,054 × 1,617,054
  4. Step 4: Simplify right side
    734,022x = 2,614,863,638,916
  5. Step 5: Solve for x
    x = 2,614,863,638,916/734,022
  6. Step 6: Final answer
    x = 3,562,377.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.