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Finding the Third Proportional to 2,969,122 and 6,505,708

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Solution

The third proportional to 2,969,122 and 6,505,708 is: 14,254,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969,122 : 6,505,708 = 6,505,708 : x
  2. Step 2: Convert to fraction form
    2,969,122/6,505,708 = 6,505,708/x
  3. Step 3: Cross multiply
    2,969,122x = 6,505,708 × 6,505,708
  4. Step 4: Simplify right side
    2,969,122x = 42,324,236,581,264
  5. Step 5: Solve for x
    x = 42,324,236,581,264/2,969,122
  6. Step 6: Final answer
    x = 14,254,798.75

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