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Finding the Third Proportional to 809,832 and 1,208,172

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Solution

The third proportional to 809,832 and 1,208,172 is: 1,802,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,832 : 1,208,172 = 1,208,172 : x
  2. Step 2: Convert to fraction form
    809,832/1,208,172 = 1,208,172/x
  3. Step 3: Cross multiply
    809,832x = 1,208,172 × 1,208,172
  4. Step 4: Simplify right side
    809,832x = 1,459,679,581,584
  5. Step 5: Solve for x
    x = 1,459,679,581,584/809,832
  6. Step 6: Final answer
    x = 1,802,447.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.