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Finding the Third Proportional to 584,147 and 887,183

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Solution

The third proportional to 584,147 and 887,183 is: 1,347,423.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,147 : 887,183 = 887,183 : x
  2. Step 2: Convert to fraction form
    584,147/887,183 = 887,183/x
  3. Step 3: Cross multiply
    584,147x = 887,183 × 887,183
  4. Step 4: Simplify right side
    584,147x = 787,093,675,489
  5. Step 5: Solve for x
    x = 787,093,675,489/584,147
  6. Step 6: Final answer
    x = 1,347,423.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.