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Finding the Third Proportional to 683,180 and 1,467,448

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Solution

The third proportional to 683,180 and 1,467,448 is: 3,152,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,180 : 1,467,448 = 1,467,448 : x
  2. Step 2: Convert to fraction form
    683,180/1,467,448 = 1,467,448/x
  3. Step 3: Cross multiply
    683,180x = 1,467,448 × 1,467,448
  4. Step 4: Simplify right side
    683,180x = 2,153,403,632,704
  5. Step 5: Solve for x
    x = 2,153,403,632,704/683,180
  6. Step 6: Final answer
    x = 3,152,029.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.