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Finding the Third Proportional to 647,222.75 and 1,408,075

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Solution

The third proportional to 647,222.75 and 1,408,075 is: 3,063,358.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,222.75 : 1,408,075 = 1,408,075 : x
  2. Step 2: Convert to fraction form
    647,222.75/1,408,075 = 1,408,075/x
  3. Step 3: Cross multiply
    647,222.75x = 1,408,075 × 1,408,075
  4. Step 4: Simplify right side
    647,222.75x = 1,982,675,205,625
  5. Step 5: Solve for x
    x = 1,982,675,205,625/647,222.75
  6. Step 6: Final answer
    x = 3,063,358.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.