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Finding the Third Proportional to 4,211,944 and 6,470,004

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Solution

The third proportional to 4,211,944 and 6,470,004 is: 9,938,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211,944 : 6,470,004 = 6,470,004 : x
  2. Step 2: Convert to fraction form
    4,211,944/6,470,004 = 6,470,004/x
  3. Step 3: Cross multiply
    4,211,944x = 6,470,004 × 6,470,004
  4. Step 4: Simplify right side
    4,211,944x = 41,860,951,760,016
  5. Step 5: Solve for x
    x = 41,860,951,760,016/4,211,944
  6. Step 6: Final answer
    x = 9,938,629.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.