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Finding the Third Proportional to 731,678 and 1,092,009

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Solution

The third proportional to 731,678 and 1,092,009 is: 1,629,792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,678 : 1,092,009 = 1,092,009 : x
  2. Step 2: Convert to fraction form
    731,678/1,092,009 = 1,092,009/x
  3. Step 3: Cross multiply
    731,678x = 1,092,009 × 1,092,009
  4. Step 4: Simplify right side
    731,678x = 1,192,483,656,081
  5. Step 5: Solve for x
    x = 1,192,483,656,081/731,678
  6. Step 6: Final answer
    x = 1,629,792.96

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