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Finding the Third Proportional to 725,310 and 1,019,601

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Solution

The third proportional to 725,310 and 1,019,601 is: 1,433,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,310 : 1,019,601 = 1,019,601 : x
  2. Step 2: Convert to fraction form
    725,310/1,019,601 = 1,019,601/x
  3. Step 3: Cross multiply
    725,310x = 1,019,601 × 1,019,601
  4. Step 4: Simplify right side
    725,310x = 1,039,586,199,201
  5. Step 5: Solve for x
    x = 1,039,586,199,201/725,310
  6. Step 6: Final answer
    x = 1,433,299.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.