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Finding the Third Proportional to 2,271,183.84 and 3,490,972.41

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Solution

The third proportional to 2,271,183.84 and 3,490,972.41 is: 5,365,874.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,183.84 : 3,490,972.41 = 3,490,972.41 : x
  2. Step 2: Convert to fraction form
    2,271,183.84/3,490,972.41 = 3,490,972.41/x
  3. Step 3: Cross multiply
    2,271,183.84x = 3,490,972.41 × 3,490,972.41
  4. Step 4: Simplify right side
    2,271,183.84x = 12,186,888,361,653.22
  5. Step 5: Solve for x
    x = 12,186,888,361,653.22/2,271,183.84
  6. Step 6: Final answer
    x = 5,365,874.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.