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Finding the Third Proportional to 2,021,850 and 4,414,194

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Solution

The third proportional to 2,021,850 and 4,414,194 is: 9,637,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021,850 : 4,414,194 = 4,414,194 : x
  2. Step 2: Convert to fraction form
    2,021,850/4,414,194 = 4,414,194/x
  3. Step 3: Cross multiply
    2,021,850x = 4,414,194 × 4,414,194
  4. Step 4: Simplify right side
    2,021,850x = 19,485,108,669,636
  5. Step 5: Solve for x
    x = 19,485,108,669,636/2,021,850
  6. Step 6: Final answer
    x = 9,637,267.19

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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.