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Finding the Third Proportional to 2,021,841 and 4,414,176

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Solution

The third proportional to 2,021,841 and 4,414,176 is: 9,637,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,841 : 4,414,176 = 4,414,176 : x
  2. Step 2: Convert to fraction form
    2,021,841/4,414,176 = 4,414,176/x
  3. Step 3: Cross multiply
    2,021,841x = 4,414,176 × 4,414,176
  4. Step 4: Simplify right side
    2,021,841x = 19,484,949,758,976
  5. Step 5: Solve for x
    x = 19,484,949,758,976/2,021,841
  6. Step 6: Final answer
    x = 9,637,231.49

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