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Finding the Third Proportional to 850,749 and 1,276,125

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Solution

The third proportional to 850,749 and 1,276,125 is: 1,914,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,749 : 1,276,125 = 1,276,125 : x
  2. Step 2: Convert to fraction form
    850,749/1,276,125 = 1,276,125/x
  3. Step 3: Cross multiply
    850,749x = 1,276,125 × 1,276,125
  4. Step 4: Simplify right side
    850,749x = 1,628,495,015,625
  5. Step 5: Solve for x
    x = 1,628,495,015,625/850,749
  6. Step 6: Final answer
    x = 1,914,189.75

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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.