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Finding the Third Proportional to 770,372 and 1,109,652

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Solution

The third proportional to 770,372 and 1,109,652 is: 1,598,354.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,372 : 1,109,652 = 1,109,652 : x
  2. Step 2: Convert to fraction form
    770,372/1,109,652 = 1,109,652/x
  3. Step 3: Cross multiply
    770,372x = 1,109,652 × 1,109,652
  4. Step 4: Simplify right side
    770,372x = 1,231,327,561,104
  5. Step 5: Solve for x
    x = 1,231,327,561,104/770,372
  6. Step 6: Final answer
    x = 1,598,354.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.