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Finding the Third Proportional to 2,669,160 and 6,298,233

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Solution

The third proportional to 2,669,160 and 6,298,233 is: 14,861,506.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669,160 : 6,298,233 = 6,298,233 : x
  2. Step 2: Convert to fraction form
    2,669,160/6,298,233 = 6,298,233/x
  3. Step 3: Cross multiply
    2,669,160x = 6,298,233 × 6,298,233
  4. Step 4: Simplify right side
    2,669,160x = 39,667,738,922,289
  5. Step 5: Solve for x
    x = 39,667,738,922,289/2,669,160
  6. Step 6: Final answer
    x = 14,861,506.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.