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Finding the Third Proportional to 3,784,357 and 5,675,369

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Solution

The third proportional to 3,784,357 and 5,675,369 is: 8,511,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,357 : 5,675,369 = 5,675,369 : x
  2. Step 2: Convert to fraction form
    3,784,357/5,675,369 = 5,675,369/x
  3. Step 3: Cross multiply
    3,784,357x = 5,675,369 × 5,675,369
  4. Step 4: Simplify right side
    3,784,357x = 32,209,813,286,161
  5. Step 5: Solve for x
    x = 32,209,813,286,161/3,784,357
  6. Step 6: Final answer
    x = 8,511,304.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.