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Finding the Third Proportional to 647,152 and 979,782

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Solution

The third proportional to 647,152 and 979,782 is: 1,483,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,152 : 979,782 = 979,782 : x
  2. Step 2: Convert to fraction form
    647,152/979,782 = 979,782/x
  3. Step 3: Cross multiply
    647,152x = 979,782 × 979,782
  4. Step 4: Simplify right side
    647,152x = 959,972,767,524
  5. Step 5: Solve for x
    x = 959,972,767,524/647,152
  6. Step 6: Final answer
    x = 1,483,380.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.