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Finding the Third Proportional to 598,178 and 919,442

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Solution

The third proportional to 598,178 and 919,442 is: 1,413,247.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,178 : 919,442 = 919,442 : x
  2. Step 2: Convert to fraction form
    598,178/919,442 = 919,442/x
  3. Step 3: Cross multiply
    598,178x = 919,442 × 919,442
  4. Step 4: Simplify right side
    598,178x = 845,373,591,364
  5. Step 5: Solve for x
    x = 845,373,591,364/598,178
  6. Step 6: Final answer
    x = 1,413,247.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.