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Finding the Third Proportional to 599,094 and 1,303,164

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Solution

The third proportional to 599,094 and 1,303,164 is: 2,834,674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,094 : 1,303,164 = 1,303,164 : x
  2. Step 2: Convert to fraction form
    599,094/1,303,164 = 1,303,164/x
  3. Step 3: Cross multiply
    599,094x = 1,303,164 × 1,303,164
  4. Step 4: Simplify right side
    599,094x = 1,698,236,410,896
  5. Step 5: Solve for x
    x = 1,698,236,410,896/599,094
  6. Step 6: Final answer
    x = 2,834,674.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.