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Finding the Third Proportional to 2,575,996 and 3,785,227

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Solution

The third proportional to 2,575,996 and 3,785,227 is: 5,562,098.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,996 : 3,785,227 = 3,785,227 : x
  2. Step 2: Convert to fraction form
    2,575,996/3,785,227 = 3,785,227/x
  3. Step 3: Cross multiply
    2,575,996x = 3,785,227 × 3,785,227
  4. Step 4: Simplify right side
    2,575,996x = 14,327,943,441,529
  5. Step 5: Solve for x
    x = 14,327,943,441,529/2,575,996
  6. Step 6: Final answer
    x = 5,562,098.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.