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Finding the Third Proportional to 2,284,436 and 5,411,954

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Solution

The third proportional to 2,284,436 and 5,411,954 is: 12,821,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,436 : 5,411,954 = 5,411,954 : x
  2. Step 2: Convert to fraction form
    2,284,436/5,411,954 = 5,411,954/x
  3. Step 3: Cross multiply
    2,284,436x = 5,411,954 × 5,411,954
  4. Step 4: Simplify right side
    2,284,436x = 29,289,246,098,116
  5. Step 5: Solve for x
    x = 29,289,246,098,116/2,284,436
  6. Step 6: Final answer
    x = 12,821,215.43

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.