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Finding the Third Proportional to 4,954,530 and 6,977,115

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Solution

The third proportional to 4,954,530 and 6,977,115 is: 9,825,378.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954,530 : 6,977,115 = 6,977,115 : x
  2. Step 2: Convert to fraction form
    4,954,530/6,977,115 = 6,977,115/x
  3. Step 3: Cross multiply
    4,954,530x = 6,977,115 × 6,977,115
  4. Step 4: Simplify right side
    4,954,530x = 48,680,133,723,225
  5. Step 5: Solve for x
    x = 48,680,133,723,225/4,954,530
  6. Step 6: Final answer
    x = 9,825,378.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.