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Finding the Third Proportional to 416,189 and 895,544

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Solution

The third proportional to 416,189 and 895,544 is: 1,927,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,189 : 895,544 = 895,544 : x
  2. Step 2: Convert to fraction form
    416,189/895,544 = 895,544/x
  3. Step 3: Cross multiply
    416,189x = 895,544 × 895,544
  4. Step 4: Simplify right side
    416,189x = 801,999,055,936
  5. Step 5: Solve for x
    x = 801,999,055,936/416,189
  6. Step 6: Final answer
    x = 1,927,006.85

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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.