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Finding the Third Proportional to 1,196,664.89 and 1,839,284.09

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Solution

The third proportional to 1,196,664.89 and 1,839,284.09 is: 2,826,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196,664.89 : 1,839,284.09 = 1,839,284.09 : x
  2. Step 2: Convert to fraction form
    1,196,664.89/1,839,284.09 = 1,839,284.09/x
  3. Step 3: Cross multiply
    1,196,664.89x = 1,839,284.09 × 1,839,284.09
  4. Step 4: Simplify right side
    1,196,664.89x = 3,382,965,948,783.31
  5. Step 5: Solve for x
    x = 3,382,965,948,783.31/1,196,664.89
  6. Step 6: Final answer
    x = 2,826,995.24

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Why These Related Problems?

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