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Finding the Third Proportional to 808,226 and 1,267,923

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Solution

The third proportional to 808,226 and 1,267,923 is: 1,989,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,226 : 1,267,923 = 1,267,923 : x
  2. Step 2: Convert to fraction form
    808,226/1,267,923 = 1,267,923/x
  3. Step 3: Cross multiply
    808,226x = 1,267,923 × 1,267,923
  4. Step 4: Simplify right side
    808,226x = 1,607,628,733,929
  5. Step 5: Solve for x
    x = 1,607,628,733,929/808,226
  6. Step 6: Final answer
    x = 1,989,083.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.