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Finding the Third Proportional to 609,788 and 905,832

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Solution

The third proportional to 609,788 and 905,832 is: 1,345,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,788 : 905,832 = 905,832 : x
  2. Step 2: Convert to fraction form
    609,788/905,832 = 905,832/x
  3. Step 3: Cross multiply
    609,788x = 905,832 × 905,832
  4. Step 4: Simplify right side
    609,788x = 820,531,612,224
  5. Step 5: Solve for x
    x = 820,531,612,224/609,788
  6. Step 6: Final answer
    x = 1,345,601.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.