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Finding the Third Proportional to 2,665,578 and 3,809,124

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Solution

The third proportional to 2,665,578 and 3,809,124 is: 5,443,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665,578 : 3,809,124 = 3,809,124 : x
  2. Step 2: Convert to fraction form
    2,665,578/3,809,124 = 3,809,124/x
  3. Step 3: Cross multiply
    2,665,578x = 3,809,124 × 3,809,124
  4. Step 4: Simplify right side
    2,665,578x = 14,509,425,647,376
  5. Step 5: Solve for x
    x = 14,509,425,647,376/2,665,578
  6. Step 6: Final answer
    x = 5,443,256.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.