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Finding the Third Proportional to 683,814 and 1,775,148

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Solution

The third proportional to 683,814 and 1,775,148 is: 4,608,198.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,814 : 1,775,148 = 1,775,148 : x
  2. Step 2: Convert to fraction form
    683,814/1,775,148 = 1,775,148/x
  3. Step 3: Cross multiply
    683,814x = 1,775,148 × 1,775,148
  4. Step 4: Simplify right side
    683,814x = 3,151,150,421,904
  5. Step 5: Solve for x
    x = 3,151,150,421,904/683,814
  6. Step 6: Final answer
    x = 4,608,198.17

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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.