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Finding the Third Proportional to 588,431 and 1,270,174

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Solution

The third proportional to 588,431 and 1,270,174 is: 2,741,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,431 : 1,270,174 = 1,270,174 : x
  2. Step 2: Convert to fraction form
    588,431/1,270,174 = 1,270,174/x
  3. Step 3: Cross multiply
    588,431x = 1,270,174 × 1,270,174
  4. Step 4: Simplify right side
    588,431x = 1,613,341,990,276
  5. Step 5: Solve for x
    x = 1,613,341,990,276/588,431
  6. Step 6: Final answer
    x = 2,741,769.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.