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Finding the Third Proportional to 713,891 and 1,552,198

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Solution

The third proportional to 713,891 and 1,552,198 is: 3,374,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,891 : 1,552,198 = 1,552,198 : x
  2. Step 2: Convert to fraction form
    713,891/1,552,198 = 1,552,198/x
  3. Step 3: Cross multiply
    713,891x = 1,552,198 × 1,552,198
  4. Step 4: Simplify right side
    713,891x = 2,409,318,631,204
  5. Step 5: Solve for x
    x = 2,409,318,631,204/713,891
  6. Step 6: Final answer
    x = 3,374,911.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.