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Finding the Third Proportional to 828,156 and 1,783,017

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Solution

The third proportional to 828,156 and 1,783,017 is: 3,838,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,156 : 1,783,017 = 1,783,017 : x
  2. Step 2: Convert to fraction form
    828,156/1,783,017 = 1,783,017/x
  3. Step 3: Cross multiply
    828,156x = 1,783,017 × 1,783,017
  4. Step 4: Simplify right side
    828,156x = 3,179,149,622,289
  5. Step 5: Solve for x
    x = 3,179,149,622,289/828,156
  6. Step 6: Final answer
    x = 3,838,829.43

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.