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Finding the Third Proportional to 2,270,320 and 4,894,976

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Solution

The third proportional to 2,270,320 and 4,894,976 is: 10,553,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,320 : 4,894,976 = 4,894,976 : x
  2. Step 2: Convert to fraction form
    2,270,320/4,894,976 = 4,894,976/x
  3. Step 3: Cross multiply
    2,270,320x = 4,894,976 × 4,894,976
  4. Step 4: Simplify right side
    2,270,320x = 23,960,790,040,576
  5. Step 5: Solve for x
    x = 23,960,790,040,576/2,270,320
  6. Step 6: Final answer
    x = 10,553,926.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.