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Finding the Third Proportional to 411,783 and 889,176

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Solution

The third proportional to 411,783 and 889,176 is: 1,920,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,783 : 889,176 = 889,176 : x
  2. Step 2: Convert to fraction form
    411,783/889,176 = 889,176/x
  3. Step 3: Cross multiply
    411,783x = 889,176 × 889,176
  4. Step 4: Simplify right side
    411,783x = 790,633,958,976
  5. Step 5: Solve for x
    x = 790,633,958,976/411,783
  6. Step 6: Final answer
    x = 1,920,025.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.