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Finding the Third Proportional to 1,149,643.13 and 2,418,383.25

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Solution

The third proportional to 1,149,643.13 and 2,418,383.25 is: 5,087,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,643.13 : 2,418,383.25 = 2,418,383.25 : x
  2. Step 2: Convert to fraction form
    1,149,643.13/2,418,383.25 = 2,418,383.25/x
  3. Step 3: Cross multiply
    1,149,643.13x = 2,418,383.25 × 2,418,383.25
  4. Step 4: Simplify right side
    1,149,643.13x = 5,848,577,543,880.56
  5. Step 5: Solve for x
    x = 5,848,577,543,880.56/1,149,643.13
  6. Step 6: Final answer
    x = 5,087,298.32

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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.