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Finding the Third Proportional to 934,296 and 2,049,456

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Solution

The third proportional to 934,296 and 2,049,456 is: 4,495,652.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    934,296 : 2,049,456 = 2,049,456 : x
  2. Step 2: Convert to fraction form
    934,296/2,049,456 = 2,049,456/x
  3. Step 3: Cross multiply
    934,296x = 2,049,456 × 2,049,456
  4. Step 4: Simplify right side
    934,296x = 4,200,269,895,936
  5. Step 5: Solve for x
    x = 4,200,269,895,936/934,296
  6. Step 6: Final answer
    x = 4,495,652.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.