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Finding the Third Proportional to 1,469,454 and 2,269,659

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Solution

The third proportional to 1,469,454 and 2,269,659 is: 3,505,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,454 : 2,269,659 = 2,269,659 : x
  2. Step 2: Convert to fraction form
    1,469,454/2,269,659 = 2,269,659/x
  3. Step 3: Cross multiply
    1,469,454x = 2,269,659 × 2,269,659
  4. Step 4: Simplify right side
    1,469,454x = 5,151,351,976,281
  5. Step 5: Solve for x
    x = 5,151,351,976,281/1,469,454
  6. Step 6: Final answer
    x = 3,505,623.16

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.