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Finding the Third Proportional to 465,626 and 1,016,544

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Solution

The third proportional to 465,626 and 1,016,544 is: 2,219,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,626 : 1,016,544 = 1,016,544 : x
  2. Step 2: Convert to fraction form
    465,626/1,016,544 = 1,016,544/x
  3. Step 3: Cross multiply
    465,626x = 1,016,544 × 1,016,544
  4. Step 4: Simplify right side
    465,626x = 1,033,361,703,936
  5. Step 5: Solve for x
    x = 1,033,361,703,936/465,626
  6. Step 6: Final answer
    x = 2,219,295.54

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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.