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Finding the Third Proportional to 2,284,713 and 4,862,838

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Solution

The third proportional to 2,284,713 and 4,862,838 is: 10,350,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,713 : 4,862,838 = 4,862,838 : x
  2. Step 2: Convert to fraction form
    2,284,713/4,862,838 = 4,862,838/x
  3. Step 3: Cross multiply
    2,284,713x = 4,862,838 × 4,862,838
  4. Step 4: Simplify right side
    2,284,713x = 23,647,193,414,244
  5. Step 5: Solve for x
    x = 23,647,193,414,244/2,284,713
  6. Step 6: Final answer
    x = 10,350,181.14

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Why These Related Problems?

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