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Finding the Third Proportional to 683,176 and 1,467,440

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Solution

The third proportional to 683,176 and 1,467,440 is: 3,152,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,176 : 1,467,440 = 1,467,440 : x
  2. Step 2: Convert to fraction form
    683,176/1,467,440 = 1,467,440/x
  3. Step 3: Cross multiply
    683,176x = 1,467,440 × 1,467,440
  4. Step 4: Simplify right side
    683,176x = 2,153,380,153,600
  5. Step 5: Solve for x
    x = 2,153,380,153,600/683,176
  6. Step 6: Final answer
    x = 3,152,013.76

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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.