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Finding the Third Proportional to 2,071,544 and 4,883,205

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Solution

The third proportional to 2,071,544 and 4,883,205 is: 11,511,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,544 : 4,883,205 = 4,883,205 : x
  2. Step 2: Convert to fraction form
    2,071,544/4,883,205 = 4,883,205/x
  3. Step 3: Cross multiply
    2,071,544x = 4,883,205 × 4,883,205
  4. Step 4: Simplify right side
    2,071,544x = 23,845,691,072,025
  5. Step 5: Solve for x
    x = 23,845,691,072,025/2,071,544
  6. Step 6: Final answer
    x = 11,511,071.49

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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.