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Finding the Third Proportional to 3,899,928 and 8,696,049

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Solution

The third proportional to 3,899,928 and 8,696,049 is: 19,390,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,928 : 8,696,049 = 8,696,049 : x
  2. Step 2: Convert to fraction form
    3,899,928/8,696,049 = 8,696,049/x
  3. Step 3: Cross multiply
    3,899,928x = 8,696,049 × 8,696,049
  4. Step 4: Simplify right side
    3,899,928x = 75,621,268,210,401
  5. Step 5: Solve for x
    x = 75,621,268,210,401/3,899,928
  6. Step 6: Final answer
    x = 19,390,426.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.