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Finding the Third Proportional to 4,146,936 and 6,491,295

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Solution

The third proportional to 4,146,936 and 6,491,295 is: 10,160,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146,936 : 6,491,295 = 6,491,295 : x
  2. Step 2: Convert to fraction form
    4,146,936/6,491,295 = 6,491,295/x
  3. Step 3: Cross multiply
    4,146,936x = 6,491,295 × 6,491,295
  4. Step 4: Simplify right side
    4,146,936x = 42,136,910,777,025
  5. Step 5: Solve for x
    x = 42,136,910,777,025/4,146,936
  6. Step 6: Final answer
    x = 10,160,974.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.