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Finding the Third Proportional to 535,792 and 1,180,616

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Solution

The third proportional to 535,792 and 1,180,616 is: 2,601,483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,792 : 1,180,616 = 1,180,616 : x
  2. Step 2: Convert to fraction form
    535,792/1,180,616 = 1,180,616/x
  3. Step 3: Cross multiply
    535,792x = 1,180,616 × 1,180,616
  4. Step 4: Simplify right side
    535,792x = 1,393,854,139,456
  5. Step 5: Solve for x
    x = 1,393,854,139,456/535,792
  6. Step 6: Final answer
    x = 2,601,483.67

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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.