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Finding the Third Proportional to 598,322 and 1,279,652

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Solution

The third proportional to 598,322 and 1,279,652 is: 2,736,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,322 : 1,279,652 = 1,279,652 : x
  2. Step 2: Convert to fraction form
    598,322/1,279,652 = 1,279,652/x
  3. Step 3: Cross multiply
    598,322x = 1,279,652 × 1,279,652
  4. Step 4: Simplify right side
    598,322x = 1,637,509,241,104
  5. Step 5: Solve for x
    x = 1,637,509,241,104/598,322
  6. Step 6: Final answer
    x = 2,736,836.09

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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.