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Finding the Third Proportional to 701,862.75 and 1,436,976

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Solution

The third proportional to 701,862.75 and 1,436,976 is: 2,942,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,862.75 : 1,436,976 = 1,436,976 : x
  2. Step 2: Convert to fraction form
    701,862.75/1,436,976 = 1,436,976/x
  3. Step 3: Cross multiply
    701,862.75x = 1,436,976 × 1,436,976
  4. Step 4: Simplify right side
    701,862.75x = 2,064,900,024,576
  5. Step 5: Solve for x
    x = 2,064,900,024,576/701,862.75
  6. Step 6: Final answer
    x = 2,942,028.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.