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Finding the Third Proportional to 464,977 and 985,758

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Solution

The third proportional to 464,977 and 985,758 is: 2,089,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,977 : 985,758 = 985,758 : x
  2. Step 2: Convert to fraction form
    464,977/985,758 = 985,758/x
  3. Step 3: Cross multiply
    464,977x = 985,758 × 985,758
  4. Step 4: Simplify right side
    464,977x = 971,718,834,564
  5. Step 5: Solve for x
    x = 971,718,834,564/464,977
  6. Step 6: Final answer
    x = 2,089,821.29

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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.