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Finding the Third Proportional to 683,820 and 1,775,163

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Solution

The third proportional to 683,820 and 1,775,163 is: 4,608,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,820 : 1,775,163 = 1,775,163 : x
  2. Step 2: Convert to fraction form
    683,820/1,775,163 = 1,775,163/x
  3. Step 3: Cross multiply
    683,820x = 1,775,163 × 1,775,163
  4. Step 4: Simplify right side
    683,820x = 3,151,203,676,569
  5. Step 5: Solve for x
    x = 3,151,203,676,569/683,820
  6. Step 6: Final answer
    x = 4,608,235.61

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.