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Finding the Third Proportional to 2,678,586 and 4,042,032

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Solution

The third proportional to 2,678,586 and 4,042,032 is: 6,099,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678,586 : 4,042,032 = 4,042,032 : x
  2. Step 2: Convert to fraction form
    2,678,586/4,042,032 = 4,042,032/x
  3. Step 3: Cross multiply
    2,678,586x = 4,042,032 × 4,042,032
  4. Step 4: Simplify right side
    2,678,586x = 16,338,022,689,024
  5. Step 5: Solve for x
    x = 16,338,022,689,024/2,678,586
  6. Step 6: Final answer
    x = 6,099,495.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.