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Finding the Third Proportional to 1,522,744 and 2,142,462

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Solution

The third proportional to 1,522,744 and 2,142,462 is: 3,014,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522,744 : 2,142,462 = 2,142,462 : x
  2. Step 2: Convert to fraction form
    1,522,744/2,142,462 = 2,142,462/x
  3. Step 3: Cross multiply
    1,522,744x = 2,142,462 × 2,142,462
  4. Step 4: Simplify right side
    1,522,744x = 4,590,143,421,444
  5. Step 5: Solve for x
    x = 4,590,143,421,444/1,522,744
  6. Step 6: Final answer
    x = 3,014,389.43

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.