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Finding the Third Proportional to 763,380 and 1,036,749

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Solution

The third proportional to 763,380 and 1,036,749 is: 1,408,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,380 : 1,036,749 = 1,036,749 : x
  2. Step 2: Convert to fraction form
    763,380/1,036,749 = 1,036,749/x
  3. Step 3: Cross multiply
    763,380x = 1,036,749 × 1,036,749
  4. Step 4: Simplify right side
    763,380x = 1,074,848,489,001
  5. Step 5: Solve for x
    x = 1,074,848,489,001/763,380
  6. Step 6: Final answer
    x = 1,408,012.38

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.