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Finding the Third Proportional to 3,784,355.44 and 5,675,366.25

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Solution

The third proportional to 3,784,355.44 and 5,675,366.25 is: 8,511,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,355.44 : 5,675,366.25 = 5,675,366.25 : x
  2. Step 2: Convert to fraction form
    3,784,355.44/5,675,366.25 = 5,675,366.25/x
  3. Step 3: Cross multiply
    3,784,355.44x = 5,675,366.25 × 5,675,366.25
  4. Step 4: Simplify right side
    3,784,355.44x = 32,209,782,071,639.06
  5. Step 5: Solve for x
    x = 32,209,782,071,639.06/3,784,355.44
  6. Step 6: Final answer
    x = 8,511,299.38

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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.