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Finding the Third Proportional to 914,178 and 1,968,839

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Solution

The third proportional to 914,178 and 1,968,839 is: 4,240,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,178 : 1,968,839 = 1,968,839 : x
  2. Step 2: Convert to fraction form
    914,178/1,968,839 = 1,968,839/x
  3. Step 3: Cross multiply
    914,178x = 1,968,839 × 1,968,839
  4. Step 4: Simplify right side
    914,178x = 3,876,327,007,921
  5. Step 5: Solve for x
    x = 3,876,327,007,921/914,178
  6. Step 6: Final answer
    x = 4,240,232.22

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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.