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Finding the Third Proportional to 419,265 and 904,923

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Solution

The third proportional to 419,265 and 904,923 is: 1,953,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,265 : 904,923 = 904,923 : x
  2. Step 2: Convert to fraction form
    419,265/904,923 = 904,923/x
  3. Step 3: Cross multiply
    419,265x = 904,923 × 904,923
  4. Step 4: Simplify right side
    419,265x = 818,885,635,929
  5. Step 5: Solve for x
    x = 818,885,635,929/419,265
  6. Step 6: Final answer
    x = 1,953,145.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.