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Finding the Third Proportional to 598,608 and 1,330,077

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Solution

The third proportional to 598,608 and 1,330,077 is: 2,955,364.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,608 : 1,330,077 = 1,330,077 : x
  2. Step 2: Convert to fraction form
    598,608/1,330,077 = 1,330,077/x
  3. Step 3: Cross multiply
    598,608x = 1,330,077 × 1,330,077
  4. Step 4: Simplify right side
    598,608x = 1,769,104,825,929
  5. Step 5: Solve for x
    x = 1,769,104,825,929/598,608
  6. Step 6: Final answer
    x = 2,955,364.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.