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Finding the Third Proportional to 412,302 and 895,104

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Solution

The third proportional to 412,302 and 895,104 is: 1,943,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,302 : 895,104 = 895,104 : x
  2. Step 2: Convert to fraction form
    412,302/895,104 = 895,104/x
  3. Step 3: Cross multiply
    412,302x = 895,104 × 895,104
  4. Step 4: Simplify right side
    412,302x = 801,211,170,816
  5. Step 5: Solve for x
    x = 801,211,170,816/412,302
  6. Step 6: Final answer
    x = 1,943,262.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.