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Finding the Third Proportional to 476,379 and 991,962

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Solution

The third proportional to 476,379 and 991,962 is: 2,065,558.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,379 : 991,962 = 991,962 : x
  2. Step 2: Convert to fraction form
    476,379/991,962 = 991,962/x
  3. Step 3: Cross multiply
    476,379x = 991,962 × 991,962
  4. Step 4: Simplify right side
    476,379x = 983,988,609,444
  5. Step 5: Solve for x
    x = 983,988,609,444/476,379
  6. Step 6: Final answer
    x = 2,065,558.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.