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Finding the Third Proportional to 529,112 and 1,163,200

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Solution

The third proportional to 529,112 and 1,163,200 is: 2,557,179.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,112 : 1,163,200 = 1,163,200 : x
  2. Step 2: Convert to fraction form
    529,112/1,163,200 = 1,163,200/x
  3. Step 3: Cross multiply
    529,112x = 1,163,200 × 1,163,200
  4. Step 4: Simplify right side
    529,112x = 1,353,034,240,000
  5. Step 5: Solve for x
    x = 1,353,034,240,000/529,112
  6. Step 6: Final answer
    x = 2,557,179.27

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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.