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Finding the Third Proportional to 416,213.44 and 895,553.72

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Solution

The third proportional to 416,213.44 and 895,553.72 is: 1,926,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,213.44 : 895,553.72 = 895,553.72 : x
  2. Step 2: Convert to fraction form
    416,213.44/895,553.72 = 895,553.72/x
  3. Step 3: Cross multiply
    416,213.44x = 895,553.72 × 895,553.72
  4. Step 4: Simplify right side
    416,213.44x = 802,016,463,166.95
  5. Step 5: Solve for x
    x = 802,016,463,166.95/416,213.44
  6. Step 6: Final answer
    x = 1,926,935.54

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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.