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Finding the Third Proportional to 600,596 and 1,305,736

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Solution

The third proportional to 600,596 and 1,305,736 is: 2,838,757.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,596 : 1,305,736 = 1,305,736 : x
  2. Step 2: Convert to fraction form
    600,596/1,305,736 = 1,305,736/x
  3. Step 3: Cross multiply
    600,596x = 1,305,736 × 1,305,736
  4. Step 4: Simplify right side
    600,596x = 1,704,946,501,696
  5. Step 5: Solve for x
    x = 1,704,946,501,696/600,596
  6. Step 6: Final answer
    x = 2,838,757.67

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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.