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Finding the Third Proportional to 3,551,690.85 and 5,194,676.02

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Solution

The third proportional to 3,551,690.85 and 5,194,676.02 is: 7,597,693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551,690.85 : 5,194,676.02 = 5,194,676.02 : x
  2. Step 2: Convert to fraction form
    3,551,690.85/5,194,676.02 = 5,194,676.02/x
  3. Step 3: Cross multiply
    3,551,690.85x = 5,194,676.02 × 5,194,676.02
  4. Step 4: Simplify right side
    3,551,690.85x = 26,984,658,968,183.95
  5. Step 5: Solve for x
    x = 26,984,658,968,183.95/3,551,690.85
  6. Step 6: Final answer
    x = 7,597,693.64

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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.