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Finding the Third Proportional to 2,305,620 and 3,683,286

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Solution

The third proportional to 2,305,620 and 3,683,286 is: 5,884,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,620 : 3,683,286 = 3,683,286 : x
  2. Step 2: Convert to fraction form
    2,305,620/3,683,286 = 3,683,286/x
  3. Step 3: Cross multiply
    2,305,620x = 3,683,286 × 3,683,286
  4. Step 4: Simplify right side
    2,305,620x = 13,566,595,757,796
  5. Step 5: Solve for x
    x = 13,566,595,757,796/2,305,620
  6. Step 6: Final answer
    x = 5,884,142.12

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.