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Finding the Third Proportional to 2,419,361 and 3,713,007

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Solution

The third proportional to 2,419,361 and 3,713,007 is: 5,698,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419,361 : 3,713,007 = 3,713,007 : x
  2. Step 2: Convert to fraction form
    2,419,361/3,713,007 = 3,713,007/x
  3. Step 3: Cross multiply
    2,419,361x = 3,713,007 × 3,713,007
  4. Step 4: Simplify right side
    2,419,361x = 13,786,420,982,049
  5. Step 5: Solve for x
    x = 13,786,420,982,049/2,419,361
  6. Step 6: Final answer
    x = 5,698,372.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.