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Finding the Third Proportional to 598,183 and 919,446

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Solution

The third proportional to 598,183 and 919,446 is: 1,413,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,183 : 919,446 = 919,446 : x
  2. Step 2: Convert to fraction form
    598,183/919,446 = 919,446/x
  3. Step 3: Cross multiply
    598,183x = 919,446 × 919,446
  4. Step 4: Simplify right side
    598,183x = 845,380,946,916
  5. Step 5: Solve for x
    x = 845,380,946,916/598,183
  6. Step 6: Final answer
    x = 1,413,248.03

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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.