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Finding the Third Proportional to 464,977 and 985,760

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Solution

The third proportional to 464,977 and 985,760 is: 2,089,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,977 : 985,760 = 985,760 : x
  2. Step 2: Convert to fraction form
    464,977/985,760 = 985,760/x
  3. Step 3: Cross multiply
    464,977x = 985,760 × 985,760
  4. Step 4: Simplify right side
    464,977x = 971,722,777,600
  5. Step 5: Solve for x
    x = 971,722,777,600/464,977
  6. Step 6: Final answer
    x = 2,089,829.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.