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Finding the Third Proportional to 2,969,120 and 6,505,704

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Solution

The third proportional to 2,969,120 and 6,505,704 is: 14,254,790.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,120 : 6,505,704 = 6,505,704 : x
  2. Step 2: Convert to fraction form
    2,969,120/6,505,704 = 6,505,704/x
  3. Step 3: Cross multiply
    2,969,120x = 6,505,704 × 6,505,704
  4. Step 4: Simplify right side
    2,969,120x = 42,324,184,535,616
  5. Step 5: Solve for x
    x = 42,324,184,535,616/2,969,120
  6. Step 6: Final answer
    x = 14,254,790.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.