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Finding the Third Proportional to 1,053,189 and 1,589,058

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Solution

The third proportional to 1,053,189 and 1,589,058 is: 2,397,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,189 : 1,589,058 = 1,589,058 : x
  2. Step 2: Convert to fraction form
    1,053,189/1,589,058 = 1,589,058/x
  3. Step 3: Cross multiply
    1,053,189x = 1,589,058 × 1,589,058
  4. Step 4: Simplify right side
    1,053,189x = 2,525,105,327,364
  5. Step 5: Solve for x
    x = 2,525,105,327,364/1,053,189
  6. Step 6: Final answer
    x = 2,397,580.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.