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Finding the Third Proportional to 488,096 and 895,192

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Solution

The third proportional to 488,096 and 895,192 is: 1,641,826.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,096 : 895,192 = 895,192 : x
  2. Step 2: Convert to fraction form
    488,096/895,192 = 895,192/x
  3. Step 3: Cross multiply
    488,096x = 895,192 × 895,192
  4. Step 4: Simplify right side
    488,096x = 801,368,716,864
  5. Step 5: Solve for x
    x = 801,368,716,864/488,096
  6. Step 6: Final answer
    x = 1,641,826.03

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.