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Finding the Third Proportional to 2,949,135.75 and 3,984,462

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Solution

The third proportional to 2,949,135.75 and 3,984,462 is: 5,383,250.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949,135.75 : 3,984,462 = 3,984,462 : x
  2. Step 2: Convert to fraction form
    2,949,135.75/3,984,462 = 3,984,462/x
  3. Step 3: Cross multiply
    2,949,135.75x = 3,984,462 × 3,984,462
  4. Step 4: Simplify right side
    2,949,135.75x = 15,875,937,429,444
  5. Step 5: Solve for x
    x = 15,875,937,429,444/2,949,135.75
  6. Step 6: Final answer
    x = 5,383,250.81

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.