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Finding the Third Proportional to 411,738 and 880,551

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Solution

The third proportional to 411,738 and 880,551 is: 1,883,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,738 : 880,551 = 880,551 : x
  2. Step 2: Convert to fraction form
    411,738/880,551 = 880,551/x
  3. Step 3: Cross multiply
    411,738x = 880,551 × 880,551
  4. Step 4: Simplify right side
    411,738x = 775,370,063,601
  5. Step 5: Solve for x
    x = 775,370,063,601/411,738
  6. Step 6: Final answer
    x = 1,883,163.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.