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Finding the Third Proportional to 528,096 and 1,160,736

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Solution

The third proportional to 528,096 and 1,160,736 is: 2,551,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,096 : 1,160,736 = 1,160,736 : x
  2. Step 2: Convert to fraction form
    528,096/1,160,736 = 1,160,736/x
  3. Step 3: Cross multiply
    528,096x = 1,160,736 × 1,160,736
  4. Step 4: Simplify right side
    528,096x = 1,347,308,061,696
  5. Step 5: Solve for x
    x = 1,347,308,061,696/528,096
  6. Step 6: Final answer
    x = 2,551,255.95

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.