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Finding the Third Proportional to 416,296 and 895,740

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Solution

The third proportional to 416,296 and 895,740 is: 1,927,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,296 : 895,740 = 895,740 : x
  2. Step 2: Convert to fraction form
    416,296/895,740 = 895,740/x
  3. Step 3: Cross multiply
    416,296x = 895,740 × 895,740
  4. Step 4: Simplify right side
    416,296x = 802,350,147,600
  5. Step 5: Solve for x
    x = 802,350,147,600/416,296
  6. Step 6: Final answer
    x = 1,927,354.93

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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.