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Finding the Third Proportional to 488,098 and 895,196

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Solution

The third proportional to 488,098 and 895,196 is: 1,641,833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,098 : 895,196 = 895,196 : x
  2. Step 2: Convert to fraction form
    488,098/895,196 = 895,196/x
  3. Step 3: Cross multiply
    488,098x = 895,196 × 895,196
  4. Step 4: Simplify right side
    488,098x = 801,375,878,416
  5. Step 5: Solve for x
    x = 801,375,878,416/488,098
  6. Step 6: Final answer
    x = 1,641,833.97

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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.