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Finding the Third Proportional to 416,089 and 895,379

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Solution

The third proportional to 416,089 and 895,379 is: 1,926,759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,089 : 895,379 = 895,379 : x
  2. Step 2: Convert to fraction form
    416,089/895,379 = 895,379/x
  3. Step 3: Cross multiply
    416,089x = 895,379 × 895,379
  4. Step 4: Simplify right side
    416,089x = 801,703,553,641
  5. Step 5: Solve for x
    x = 801,703,553,641/416,089
  6. Step 6: Final answer
    x = 1,926,759.79

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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.