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Finding the Third Proportional to 414,563.06 and 878,946.19

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Solution

The third proportional to 414,563.06 and 878,946.19 is: 1,863,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,563.06 : 878,946.19 = 878,946.19 : x
  2. Step 2: Convert to fraction form
    414,563.06/878,946.19 = 878,946.19/x
  3. Step 3: Cross multiply
    414,563.06x = 878,946.19 × 878,946.19
  4. Step 4: Simplify right side
    414,563.06x = 772,546,400,520.79
  5. Step 5: Solve for x
    x = 772,546,400,520.79/414,563.06
  6. Step 6: Final answer
    x = 1,863,519.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.