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Finding the Third Proportional to 416,556,198 and 895,802,751

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Solution

The third proportional to 416,556,198 and 895,802,751 is: 1,926,420,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,556,198 : 895,802,751 = 895,802,751 : x
  2. Step 2: Convert to fraction form
    416,556,198/895,802,751 = 895,802,751/x
  3. Step 3: Cross multiply
    416,556,198x = 895,802,751 × 895,802,751
  4. Step 4: Simplify right side
    416,556,198x = 802,462,568,699,168,000
  5. Step 5: Solve for x
    x = 802,462,568,699,168,000/416,556,198
  6. Step 6: Final answer
    x = 1,926,420,906.84

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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.