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Finding the Third Proportional to 2,969,119 and 6,505,702

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Solution

The third proportional to 2,969,119 and 6,505,702 is: 14,254,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,119 : 6,505,702 = 6,505,702 : x
  2. Step 2: Convert to fraction form
    2,969,119/6,505,702 = 6,505,702/x
  3. Step 3: Cross multiply
    2,969,119x = 6,505,702 × 6,505,702
  4. Step 4: Simplify right side
    2,969,119x = 42,324,158,512,804
  5. Step 5: Solve for x
    x = 42,324,158,512,804/2,969,119
  6. Step 6: Final answer
    x = 14,254,786.86

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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.