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Finding the Third Proportional to 4,766,697 and 6,120,310.50

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Solution

The third proportional to 4,766,697 and 6,120,310.50 is: 7,858,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766,697 : 6,120,310.50 = 6,120,310.50 : x
  2. Step 2: Convert to fraction form
    4,766,697/6,120,310.50 = 6,120,310.50/x
  3. Step 3: Cross multiply
    4,766,697x = 6,120,310.50 × 6,120,310.50
  4. Step 4: Simplify right side
    4,766,697x = 37,458,200,616,410.25
  5. Step 5: Solve for x
    x = 37,458,200,616,410.25/4,766,697
  6. Step 6: Final answer
    x = 7,858,313.76

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.