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Finding the Third Proportional to 605,464.88 and 1,273,664.25

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Solution

The third proportional to 605,464.88 and 1,273,664.25 is: 2,679,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,464.88 : 1,273,664.25 = 1,273,664.25 : x
  2. Step 2: Convert to fraction form
    605,464.88/1,273,664.25 = 1,273,664.25/x
  3. Step 3: Cross multiply
    605,464.88x = 1,273,664.25 × 1,273,664.25
  4. Step 4: Simplify right side
    605,464.88x = 1,622,220,621,728.06
  5. Step 5: Solve for x
    x = 1,622,220,621,728.06/605,464.88
  6. Step 6: Final answer
    x = 2,679,297.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.