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Finding the Third Proportional to 739,296 and 1,114,200

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Solution

The third proportional to 739,296 and 1,114,200 is: 1,679,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,296 : 1,114,200 = 1,114,200 : x
  2. Step 2: Convert to fraction form
    739,296/1,114,200 = 1,114,200/x
  3. Step 3: Cross multiply
    739,296x = 1,114,200 × 1,114,200
  4. Step 4: Simplify right side
    739,296x = 1,241,441,640,000
  5. Step 5: Solve for x
    x = 1,241,441,640,000/739,296
  6. Step 6: Final answer
    x = 1,679,221.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.