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Finding the Third Proportional to 594,646 and 905,912

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Solution

The third proportional to 594,646 and 905,912 is: 1,380,109.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,646 : 905,912 = 905,912 : x
  2. Step 2: Convert to fraction form
    594,646/905,912 = 905,912/x
  3. Step 3: Cross multiply
    594,646x = 905,912 × 905,912
  4. Step 4: Simplify right side
    594,646x = 820,676,551,744
  5. Step 5: Solve for x
    x = 820,676,551,744/594,646
  6. Step 6: Final answer
    x = 1,380,109.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.