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Finding the Third Proportional to 2,969,124 and 6,505,712

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Solution

The third proportional to 2,969,124 and 6,505,712 is: 14,254,806.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,124 : 6,505,712 = 6,505,712 : x
  2. Step 2: Convert to fraction form
    2,969,124/6,505,712 = 6,505,712/x
  3. Step 3: Cross multiply
    2,969,124x = 6,505,712 × 6,505,712
  4. Step 4: Simplify right side
    2,969,124x = 42,324,288,626,944
  5. Step 5: Solve for x
    x = 42,324,288,626,944/2,969,124
  6. Step 6: Final answer
    x = 14,254,806.68

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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.