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Finding the Third Proportional to 609,968 and 943,635

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Solution

The third proportional to 609,968 and 943,635 is: 1,459,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,968 : 943,635 = 943,635 : x
  2. Step 2: Convert to fraction form
    609,968/943,635 = 943,635/x
  3. Step 3: Cross multiply
    609,968x = 943,635 × 943,635
  4. Step 4: Simplify right side
    609,968x = 890,447,013,225
  5. Step 5: Solve for x
    x = 890,447,013,225/609,968
  6. Step 6: Final answer
    x = 1,459,825.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.