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Finding the Third Proportional to 1,446,919 and 2,128,561

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Solution

The third proportional to 1,446,919 and 2,128,561 is: 3,131,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446,919 : 2,128,561 = 2,128,561 : x
  2. Step 2: Convert to fraction form
    1,446,919/2,128,561 = 2,128,561/x
  3. Step 3: Cross multiply
    1,446,919x = 2,128,561 × 2,128,561
  4. Step 4: Simplify right side
    1,446,919x = 4,530,771,930,721
  5. Step 5: Solve for x
    x = 4,530,771,930,721/1,446,919
  6. Step 6: Final answer
    x = 3,131,323.82

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.