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Finding the Third Proportional to 922,992 and 1,397,223

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Solution

The third proportional to 922,992 and 1,397,223 is: 2,115,112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,992 : 1,397,223 = 1,397,223 : x
  2. Step 2: Convert to fraction form
    922,992/1,397,223 = 1,397,223/x
  3. Step 3: Cross multiply
    922,992x = 1,397,223 × 1,397,223
  4. Step 4: Simplify right side
    922,992x = 1,952,232,111,729
  5. Step 5: Solve for x
    x = 1,952,232,111,729/922,992
  6. Step 6: Final answer
    x = 2,115,112.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.