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Finding the Third Proportional to 2,969,169 and 6,620,682

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Solution

The third proportional to 2,969,169 and 6,620,682 is: 14,762,861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,169 : 6,620,682 = 6,620,682 : x
  2. Step 2: Convert to fraction form
    2,969,169/6,620,682 = 6,620,682/x
  3. Step 3: Cross multiply
    2,969,169x = 6,620,682 × 6,620,682
  4. Step 4: Simplify right side
    2,969,169x = 43,833,430,145,124
  5. Step 5: Solve for x
    x = 43,833,430,145,124/2,969,169
  6. Step 6: Final answer
    x = 14,762,861.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.