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Finding the Third Proportional to 1,094,736 and 1,743,286.50

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Solution

The third proportional to 1,094,736 and 1,743,286.50 is: 2,776,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094,736 : 1,743,286.50 = 1,743,286.50 : x
  2. Step 2: Convert to fraction form
    1,094,736/1,743,286.50 = 1,743,286.50/x
  3. Step 3: Cross multiply
    1,094,736x = 1,743,286.50 × 1,743,286.50
  4. Step 4: Simplify right side
    1,094,736x = 3,039,047,821,082.25
  5. Step 5: Solve for x
    x = 3,039,047,821,082.25/1,094,736
  6. Step 6: Final answer
    x = 2,776,055.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.