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Finding the Third Proportional to 1,270,224 and 2,021,976

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Solution

The third proportional to 1,270,224 and 2,021,976 is: 3,218,634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,224 : 2,021,976 = 2,021,976 : x
  2. Step 2: Convert to fraction form
    1,270,224/2,021,976 = 2,021,976/x
  3. Step 3: Cross multiply
    1,270,224x = 2,021,976 × 2,021,976
  4. Step 4: Simplify right side
    1,270,224x = 4,088,386,944,576
  5. Step 5: Solve for x
    x = 4,088,386,944,576/1,270,224
  6. Step 6: Final answer
    x = 3,218,634.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.