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Finding the Third Proportional to 657,264 and 1,058,180

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Solution

The third proportional to 657,264 and 1,058,180 is: 1,703,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,264 : 1,058,180 = 1,058,180 : x
  2. Step 2: Convert to fraction form
    657,264/1,058,180 = 1,058,180/x
  3. Step 3: Cross multiply
    657,264x = 1,058,180 × 1,058,180
  4. Step 4: Simplify right side
    657,264x = 1,119,744,912,400
  5. Step 5: Solve for x
    x = 1,119,744,912,400/657,264
  6. Step 6: Final answer
    x = 1,703,645.59

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