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Finding the Third Proportional to 861,984 and 1,813,296

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Solution

The third proportional to 861,984 and 1,813,296 is: 3,814,505.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,984 : 1,813,296 = 1,813,296 : x
  2. Step 2: Convert to fraction form
    861,984/1,813,296 = 1,813,296/x
  3. Step 3: Cross multiply
    861,984x = 1,813,296 × 1,813,296
  4. Step 4: Simplify right side
    861,984x = 3,288,042,383,616
  5. Step 5: Solve for x
    x = 3,288,042,383,616/861,984
  6. Step 6: Final answer
    x = 3,814,505.12

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.