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Finding the Third Proportional to 2,998,733 and 6,529,906

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Solution

The third proportional to 2,998,733 and 6,529,906 is: 14,219,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998,733 : 6,529,906 = 6,529,906 : x
  2. Step 2: Convert to fraction form
    2,998,733/6,529,906 = 6,529,906/x
  3. Step 3: Cross multiply
    2,998,733x = 6,529,906 × 6,529,906
  4. Step 4: Simplify right side
    2,998,733x = 42,639,672,368,836
  5. Step 5: Solve for x
    x = 42,639,672,368,836/2,998,733
  6. Step 6: Final answer
    x = 14,219,229.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.