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Finding the Third Proportional to 674,727 and 1,397,199

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Solution

The third proportional to 674,727 and 1,397,199 is: 2,893,266.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,727 : 1,397,199 = 1,397,199 : x
  2. Step 2: Convert to fraction form
    674,727/1,397,199 = 1,397,199/x
  3. Step 3: Cross multiply
    674,727x = 1,397,199 × 1,397,199
  4. Step 4: Simplify right side
    674,727x = 1,952,165,045,601
  5. Step 5: Solve for x
    x = 1,952,165,045,601/674,727
  6. Step 6: Final answer
    x = 2,893,266.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.