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Finding the Third Proportional to 1,205,676 and 1,641,933

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Solution

The third proportional to 1,205,676 and 1,641,933 is: 2,236,043.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205,676 : 1,641,933 = 1,641,933 : x
  2. Step 2: Convert to fraction form
    1,205,676/1,641,933 = 1,641,933/x
  3. Step 3: Cross multiply
    1,205,676x = 1,641,933 × 1,641,933
  4. Step 4: Simplify right side
    1,205,676x = 2,695,943,976,489
  5. Step 5: Solve for x
    x = 2,695,943,976,489/1,205,676
  6. Step 6: Final answer
    x = 2,236,043.49

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.