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Finding the Third Proportional to 1,016,823 and 2,168,754

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Solution

The third proportional to 1,016,823 and 2,168,754 is: 4,625,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016,823 : 2,168,754 = 2,168,754 : x
  2. Step 2: Convert to fraction form
    1,016,823/2,168,754 = 2,168,754/x
  3. Step 3: Cross multiply
    1,016,823x = 2,168,754 × 2,168,754
  4. Step 4: Simplify right side
    1,016,823x = 4,703,493,912,516
  5. Step 5: Solve for x
    x = 4,703,493,912,516/1,016,823
  6. Step 6: Final answer
    x = 4,625,676.16

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.