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Finding the Third Proportional to 589,538 and 1,263,194

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Solution

The third proportional to 589,538 and 1,263,194 is: 2,706,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,538 : 1,263,194 = 1,263,194 : x
  2. Step 2: Convert to fraction form
    589,538/1,263,194 = 1,263,194/x
  3. Step 3: Cross multiply
    589,538x = 1,263,194 × 1,263,194
  4. Step 4: Simplify right side
    589,538x = 1,595,659,081,636
  5. Step 5: Solve for x
    x = 1,595,659,081,636/589,538
  6. Step 6: Final answer
    x = 2,706,626.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.