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Finding the Third Proportional to 598,860 and 1,330,582

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Solution

The third proportional to 598,860 and 1,330,582 is: 2,956,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,860 : 1,330,582 = 1,330,582 : x
  2. Step 2: Convert to fraction form
    598,860/1,330,582 = 1,330,582/x
  3. Step 3: Cross multiply
    598,860x = 1,330,582 × 1,330,582
  4. Step 4: Simplify right side
    598,860x = 1,770,448,458,724
  5. Step 5: Solve for x
    x = 1,770,448,458,724/598,860
  6. Step 6: Final answer
    x = 2,956,364.52

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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.