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Finding the Third Proportional to 650,970 and 985,635

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Solution

The third proportional to 650,970 and 985,635 is: 1,492,351.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,970 : 985,635 = 985,635 : x
  2. Step 2: Convert to fraction form
    650,970/985,635 = 985,635/x
  3. Step 3: Cross multiply
    650,970x = 985,635 × 985,635
  4. Step 4: Simplify right side
    650,970x = 971,476,353,225
  5. Step 5: Solve for x
    x = 971,476,353,225/650,970
  6. Step 6: Final answer
    x = 1,492,351.96

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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.