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Finding the Third Proportional to 412,293 and 895,086

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Solution

The third proportional to 412,293 and 895,086 is: 1,943,227.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,293 : 895,086 = 895,086 : x
  2. Step 2: Convert to fraction form
    412,293/895,086 = 895,086/x
  3. Step 3: Cross multiply
    412,293x = 895,086 × 895,086
  4. Step 4: Simplify right side
    412,293x = 801,178,947,396
  5. Step 5: Solve for x
    x = 801,178,947,396/412,293
  6. Step 6: Final answer
    x = 1,943,227.14

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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.