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Finding the Third Proportional to 3,504,144 and 3,872,784

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Solution

The third proportional to 3,504,144 and 3,872,784 is: 4,280,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504,144 : 3,872,784 = 3,872,784 : x
  2. Step 2: Convert to fraction form
    3,504,144/3,872,784 = 3,872,784/x
  3. Step 3: Cross multiply
    3,504,144x = 3,872,784 × 3,872,784
  4. Step 4: Simplify right side
    3,504,144x = 14,998,455,910,656
  5. Step 5: Solve for x
    x = 14,998,455,910,656/3,504,144
  6. Step 6: Final answer
    x = 4,280,205.35

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.