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Finding the Third Proportional to 679,200 and 994,734

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Solution

The third proportional to 679,200 and 994,734 is: 1,456,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,200 : 994,734 = 994,734 : x
  2. Step 2: Convert to fraction form
    679,200/994,734 = 994,734/x
  3. Step 3: Cross multiply
    679,200x = 994,734 × 994,734
  4. Step 4: Simplify right side
    679,200x = 989,495,730,756
  5. Step 5: Solve for x
    x = 989,495,730,756/679,200
  6. Step 6: Final answer
    x = 1,456,854.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.