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Finding the Third Proportional to 809,651 and 1,188,205

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Solution

The third proportional to 809,651 and 1,188,205 is: 1,743,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,651 : 1,188,205 = 1,188,205 : x
  2. Step 2: Convert to fraction form
    809,651/1,188,205 = 1,188,205/x
  3. Step 3: Cross multiply
    809,651x = 1,188,205 × 1,188,205
  4. Step 4: Simplify right side
    809,651x = 1,411,831,122,025
  5. Step 5: Solve for x
    x = 1,411,831,122,025/809,651
  6. Step 6: Final answer
    x = 1,743,752.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.