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Finding the Third Proportional to 633,625 and 972,611

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Solution

The third proportional to 633,625 and 972,611 is: 1,492,952.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,625 : 972,611 = 972,611 : x
  2. Step 2: Convert to fraction form
    633,625/972,611 = 972,611/x
  3. Step 3: Cross multiply
    633,625x = 972,611 × 972,611
  4. Step 4: Simplify right side
    633,625x = 945,972,157,321
  5. Step 5: Solve for x
    x = 945,972,157,321/633,625
  6. Step 6: Final answer
    x = 1,492,952.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.