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Finding the Third Proportional to 657,266 and 1,058,183

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Solution

The third proportional to 657,266 and 1,058,183 is: 1,703,650.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,266 : 1,058,183 = 1,058,183 : x
  2. Step 2: Convert to fraction form
    657,266/1,058,183 = 1,058,183/x
  3. Step 3: Cross multiply
    657,266x = 1,058,183 × 1,058,183
  4. Step 4: Simplify right side
    657,266x = 1,119,751,261,489
  5. Step 5: Solve for x
    x = 1,119,751,261,489/657,266
  6. Step 6: Final answer
    x = 1,703,650.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.