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Finding the Third Proportional to 945,696 and 2,052,144

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Solution

The third proportional to 945,696 and 2,052,144 is: 4,453,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,696 : 2,052,144 = 2,052,144 : x
  2. Step 2: Convert to fraction form
    945,696/2,052,144 = 2,052,144/x
  3. Step 3: Cross multiply
    945,696x = 2,052,144 × 2,052,144
  4. Step 4: Simplify right side
    945,696x = 4,211,294,996,736
  5. Step 5: Solve for x
    x = 4,211,294,996,736/945,696
  6. Step 6: Final answer
    x = 4,453,117.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.