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Finding the Third Proportional to 405,077 and 893,098

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Solution

The third proportional to 405,077 and 893,098 is: 1,969,067.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,077 : 893,098 = 893,098 : x
  2. Step 2: Convert to fraction form
    405,077/893,098 = 893,098/x
  3. Step 3: Cross multiply
    405,077x = 893,098 × 893,098
  4. Step 4: Simplify right side
    405,077x = 797,624,037,604
  5. Step 5: Solve for x
    x = 797,624,037,604/405,077
  6. Step 6: Final answer
    x = 1,969,067.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.