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Finding the Third Proportional to 2,434,314 and 3,784,224

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Solution

The third proportional to 2,434,314 and 3,784,224 is: 5,882,705.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434,314 : 3,784,224 = 3,784,224 : x
  2. Step 2: Convert to fraction form
    2,434,314/3,784,224 = 3,784,224/x
  3. Step 3: Cross multiply
    2,434,314x = 3,784,224 × 3,784,224
  4. Step 4: Simplify right side
    2,434,314x = 14,320,351,282,176
  5. Step 5: Solve for x
    x = 14,320,351,282,176/2,434,314
  6. Step 6: Final answer
    x = 5,882,705.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.