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Finding the Third Proportional to 488,094 and 895,188

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Solution

The third proportional to 488,094 and 895,188 is: 1,641,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,094 : 895,188 = 895,188 : x
  2. Step 2: Convert to fraction form
    488,094/895,188 = 895,188/x
  3. Step 3: Cross multiply
    488,094x = 895,188 × 895,188
  4. Step 4: Simplify right side
    488,094x = 801,361,555,344
  5. Step 5: Solve for x
    x = 801,361,555,344/488,094
  6. Step 6: Final answer
    x = 1,641,818.08

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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.