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Finding the Third Proportional to 419,048 and 904,496

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Solution

The third proportional to 419,048 and 904,496 is: 1,952,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,048 : 904,496 = 904,496 : x
  2. Step 2: Convert to fraction form
    419,048/904,496 = 904,496/x
  3. Step 3: Cross multiply
    419,048x = 904,496 × 904,496
  4. Step 4: Simplify right side
    419,048x = 818,113,014,016
  5. Step 5: Solve for x
    x = 818,113,014,016/419,048
  6. Step 6: Final answer
    x = 1,952,313.37

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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.