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Finding the Third Proportional to 904,266 and 1,397,971

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Solution

The third proportional to 904,266 and 1,397,971 is: 2,161,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,266 : 1,397,971 = 1,397,971 : x
  2. Step 2: Convert to fraction form
    904,266/1,397,971 = 1,397,971/x
  3. Step 3: Cross multiply
    904,266x = 1,397,971 × 1,397,971
  4. Step 4: Simplify right side
    904,266x = 1,954,322,916,841
  5. Step 5: Solve for x
    x = 1,954,322,916,841/904,266
  6. Step 6: Final answer
    x = 2,161,225.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.