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Finding the Third Proportional to 2,258,280 and 4,844,016

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Solution

The third proportional to 2,258,280 and 4,844,016 is: 10,390,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258,280 : 4,844,016 = 4,844,016 : x
  2. Step 2: Convert to fraction form
    2,258,280/4,844,016 = 4,844,016/x
  3. Step 3: Cross multiply
    2,258,280x = 4,844,016 × 4,844,016
  4. Step 4: Simplify right side
    2,258,280x = 23,464,491,008,256
  5. Step 5: Solve for x
    x = 23,464,491,008,256/2,258,280
  6. Step 6: Final answer
    x = 10,390,425.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.