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Finding the Third Proportional to 684,756 and 1,029,204

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Solution

The third proportional to 684,756 and 1,029,204 is: 1,546,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,756 : 1,029,204 = 1,029,204 : x
  2. Step 2: Convert to fraction form
    684,756/1,029,204 = 1,029,204/x
  3. Step 3: Cross multiply
    684,756x = 1,029,204 × 1,029,204
  4. Step 4: Simplify right side
    684,756x = 1,059,260,873,616
  5. Step 5: Solve for x
    x = 1,059,260,873,616/684,756
  6. Step 6: Final answer
    x = 1,546,917.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.