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Finding the Third Proportional to 910,696 and 1,463,244

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Solution

The third proportional to 910,696 and 1,463,244 is: 2,351,040.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    910,696 : 1,463,244 = 1,463,244 : x
  2. Step 2: Convert to fraction form
    910,696/1,463,244 = 1,463,244/x
  3. Step 3: Cross multiply
    910,696x = 1,463,244 × 1,463,244
  4. Step 4: Simplify right side
    910,696x = 2,141,083,003,536
  5. Step 5: Solve for x
    x = 2,141,083,003,536/910,696
  6. Step 6: Final answer
    x = 2,351,040.31

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.