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Finding the Third Proportional to 643,104 and 1,396,920

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Solution

The third proportional to 643,104 and 1,396,920 is: 3,034,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,104 : 1,396,920 = 1,396,920 : x
  2. Step 2: Convert to fraction form
    643,104/1,396,920 = 1,396,920/x
  3. Step 3: Cross multiply
    643,104x = 1,396,920 × 1,396,920
  4. Step 4: Simplify right side
    643,104x = 1,951,385,486,400
  5. Step 5: Solve for x
    x = 1,951,385,486,400/643,104
  6. Step 6: Final answer
    x = 3,034,323.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.