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Finding the Third Proportional to 543,693 and 1,279,200

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Solution

The third proportional to 543,693 and 1,279,200 is: 3,009,699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,693 : 1,279,200 = 1,279,200 : x
  2. Step 2: Convert to fraction form
    543,693/1,279,200 = 1,279,200/x
  3. Step 3: Cross multiply
    543,693x = 1,279,200 × 1,279,200
  4. Step 4: Simplify right side
    543,693x = 1,636,352,640,000
  5. Step 5: Solve for x
    x = 1,636,352,640,000/543,693
  6. Step 6: Final answer
    x = 3,009,699.67

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.