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Finding the Third Proportional to 598,864 and 1,330,590

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Solution

The third proportional to 598,864 and 1,330,590 is: 2,956,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,864 : 1,330,590 = 1,330,590 : x
  2. Step 2: Convert to fraction form
    598,864/1,330,590 = 1,330,590/x
  3. Step 3: Cross multiply
    598,864x = 1,330,590 × 1,330,590
  4. Step 4: Simplify right side
    598,864x = 1,770,469,748,100
  5. Step 5: Solve for x
    x = 1,770,469,748,100/598,864
  6. Step 6: Final answer
    x = 2,956,380.33

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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.