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Finding the Third Proportional to 800,059 and 1,749,564

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Solution

The third proportional to 800,059 and 1,749,564 is: 3,825,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,059 : 1,749,564 = 1,749,564 : x
  2. Step 2: Convert to fraction form
    800,059/1,749,564 = 1,749,564/x
  3. Step 3: Cross multiply
    800,059x = 1,749,564 × 1,749,564
  4. Step 4: Simplify right side
    800,059x = 3,060,974,190,096
  5. Step 5: Solve for x
    x = 3,060,974,190,096/800,059
  6. Step 6: Final answer
    x = 3,825,935.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.