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Finding the Third Proportional to 1,872,880 and 4,029,827

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Solution

The third proportional to 1,872,880 and 4,029,827 is: 8,670,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872,880 : 4,029,827 = 4,029,827 : x
  2. Step 2: Convert to fraction form
    1,872,880/4,029,827 = 4,029,827/x
  3. Step 3: Cross multiply
    1,872,880x = 4,029,827 × 4,029,827
  4. Step 4: Simplify right side
    1,872,880x = 16,239,505,649,929
  5. Step 5: Solve for x
    x = 16,239,505,649,929/1,872,880
  6. Step 6: Final answer
    x = 8,670,873.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.