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Finding the Third Proportional to 2,462,022 and 3,848,553

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Solution

The third proportional to 2,462,022 and 3,848,553 is: 6,015,933.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,022 : 3,848,553 = 3,848,553 : x
  2. Step 2: Convert to fraction form
    2,462,022/3,848,553 = 3,848,553/x
  3. Step 3: Cross multiply
    2,462,022x = 3,848,553 × 3,848,553
  4. Step 4: Simplify right side
    2,462,022x = 14,811,360,193,809
  5. Step 5: Solve for x
    x = 14,811,360,193,809/2,462,022
  6. Step 6: Final answer
    x = 6,015,933.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.