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Finding the Third Proportional to 2,510,715 and 5,490,906

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Solution

The third proportional to 2,510,715 and 5,490,906 is: 12,008,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510,715 : 5,490,906 = 5,490,906 : x
  2. Step 2: Convert to fraction form
    2,510,715/5,490,906 = 5,490,906/x
  3. Step 3: Cross multiply
    2,510,715x = 5,490,906 × 5,490,906
  4. Step 4: Simplify right side
    2,510,715x = 30,150,048,700,836
  5. Step 5: Solve for x
    x = 30,150,048,700,836/2,510,715
  6. Step 6: Final answer
    x = 12,008,550.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.