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Finding the Third Proportional to 498,884 and 886,954

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Solution

The third proportional to 498,884 and 886,954 is: 1,576,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,884 : 886,954 = 886,954 : x
  2. Step 2: Convert to fraction form
    498,884/886,954 = 886,954/x
  3. Step 3: Cross multiply
    498,884x = 886,954 × 886,954
  4. Step 4: Simplify right side
    498,884x = 786,687,398,116
  5. Step 5: Solve for x
    x = 786,687,398,116/498,884
  6. Step 6: Final answer
    x = 1,576,894.42

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.