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Finding the Third Proportional to 1,891,028.25 and 2,838,479.06

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Solution

The third proportional to 1,891,028.25 and 2,838,479.06 is: 4,260,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891,028.25 : 2,838,479.06 = 2,838,479.06 : x
  2. Step 2: Convert to fraction form
    1,891,028.25/2,838,479.06 = 2,838,479.06/x
  3. Step 3: Cross multiply
    1,891,028.25x = 2,838,479.06 × 2,838,479.06
  4. Step 4: Simplify right side
    1,891,028.25x = 8,056,963,388,250.88
  5. Step 5: Solve for x
    x = 8,056,963,388,250.88/1,891,028.25
  6. Step 6: Final answer
    x = 4,260,625.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.