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Finding the Third Proportional to 4,906,085 and 7,311,267

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Solution

The third proportional to 4,906,085 and 7,311,267 is: 10,895,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906,085 : 7,311,267 = 7,311,267 : x
  2. Step 2: Convert to fraction form
    4,906,085/7,311,267 = 7,311,267/x
  3. Step 3: Cross multiply
    4,906,085x = 7,311,267 × 7,311,267
  4. Step 4: Simplify right side
    4,906,085x = 53,454,625,145,289
  5. Step 5: Solve for x
    x = 53,454,625,145,289/4,906,085
  6. Step 6: Final answer
    x = 10,895,576.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.