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Finding the Third Proportional to 650,954 and 985,611

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Solution

The third proportional to 650,954 and 985,611 is: 1,492,315.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,954 : 985,611 = 985,611 : x
  2. Step 2: Convert to fraction form
    650,954/985,611 = 985,611/x
  3. Step 3: Cross multiply
    650,954x = 985,611 × 985,611
  4. Step 4: Simplify right side
    650,954x = 971,429,043,321
  5. Step 5: Solve for x
    x = 971,429,043,321/650,954
  6. Step 6: Final answer
    x = 1,492,315.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.