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Finding the Third Proportional to 2,969,121 and 6,505,706

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Solution

The third proportional to 2,969,121 and 6,505,706 is: 14,254,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,121 : 6,505,706 = 6,505,706 : x
  2. Step 2: Convert to fraction form
    2,969,121/6,505,706 = 6,505,706/x
  3. Step 3: Cross multiply
    2,969,121x = 6,505,706 × 6,505,706
  4. Step 4: Simplify right side
    2,969,121x = 42,324,210,558,436
  5. Step 5: Solve for x
    x = 42,324,210,558,436/2,969,121
  6. Step 6: Final answer
    x = 14,254,794.79

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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.