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Finding the Third Proportional to 853,977 and 1,834,583

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Solution

The third proportional to 853,977 and 1,834,583 is: 3,941,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,977 : 1,834,583 = 1,834,583 : x
  2. Step 2: Convert to fraction form
    853,977/1,834,583 = 1,834,583/x
  3. Step 3: Cross multiply
    853,977x = 1,834,583 × 1,834,583
  4. Step 4: Simplify right side
    853,977x = 3,365,694,783,889
  5. Step 5: Solve for x
    x = 3,365,694,783,889/853,977
  6. Step 6: Final answer
    x = 3,941,200.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.