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Finding the Third Proportional to 657,272 and 1,058,192

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Solution

The third proportional to 657,272 and 1,058,192 is: 1,703,663.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,272 : 1,058,192 = 1,058,192 : x
  2. Step 2: Convert to fraction form
    657,272/1,058,192 = 1,058,192/x
  3. Step 3: Cross multiply
    657,272x = 1,058,192 × 1,058,192
  4. Step 4: Simplify right side
    657,272x = 1,119,770,308,864
  5. Step 5: Solve for x
    x = 1,119,770,308,864/657,272
  6. Step 6: Final answer
    x = 1,703,663.49

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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.