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Finding the Third Proportional to 609,966 and 943,632

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Solution

The third proportional to 609,966 and 943,632 is: 1,459,821.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,966 : 943,632 = 943,632 : x
  2. Step 2: Convert to fraction form
    609,966/943,632 = 943,632/x
  3. Step 3: Cross multiply
    609,966x = 943,632 × 943,632
  4. Step 4: Simplify right side
    609,966x = 890,441,351,424
  5. Step 5: Solve for x
    x = 890,441,351,424/609,966
  6. Step 6: Final answer
    x = 1,459,821.29

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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.