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Finding the Third Proportional to 416,096 and 895,394

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Solution

The third proportional to 416,096 and 895,394 is: 1,926,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,096 : 895,394 = 895,394 : x
  2. Step 2: Convert to fraction form
    416,096/895,394 = 895,394/x
  3. Step 3: Cross multiply
    416,096x = 895,394 × 895,394
  4. Step 4: Simplify right side
    416,096x = 801,730,415,236
  5. Step 5: Solve for x
    x = 801,730,415,236/416,096
  6. Step 6: Final answer
    x = 1,926,791.93

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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.