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Finding the Third Proportional to 616,884 and 1,428,003

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Solution

The third proportional to 616,884 and 1,428,003 is: 3,305,633.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,884 : 1,428,003 = 1,428,003 : x
  2. Step 2: Convert to fraction form
    616,884/1,428,003 = 1,428,003/x
  3. Step 3: Cross multiply
    616,884x = 1,428,003 × 1,428,003
  4. Step 4: Simplify right side
    616,884x = 2,039,192,568,009
  5. Step 5: Solve for x
    x = 2,039,192,568,009/616,884
  6. Step 6: Final answer
    x = 3,305,633.75

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.