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Finding the Third Proportional to 2,586,638 and 3,915,738

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Solution

The third proportional to 2,586,638 and 3,915,738 is: 5,927,773.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586,638 : 3,915,738 = 3,915,738 : x
  2. Step 2: Convert to fraction form
    2,586,638/3,915,738 = 3,915,738/x
  3. Step 3: Cross multiply
    2,586,638x = 3,915,738 × 3,915,738
  4. Step 4: Simplify right side
    2,586,638x = 15,333,004,084,644
  5. Step 5: Solve for x
    x = 15,333,004,084,644/2,586,638
  6. Step 6: Final answer
    x = 5,927,773.46

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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.