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Finding the Third Proportional to 419,954 and 907,300

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Solution

The third proportional to 419,954 and 907,300 is: 1,960,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,954 : 907,300 = 907,300 : x
  2. Step 2: Convert to fraction form
    419,954/907,300 = 907,300/x
  3. Step 3: Cross multiply
    419,954x = 907,300 × 907,300
  4. Step 4: Simplify right side
    419,954x = 823,193,290,000
  5. Step 5: Solve for x
    x = 823,193,290,000/419,954
  6. Step 6: Final answer
    x = 1,960,198.71

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