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Finding the Third Proportional to 432,189 and 943,110

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Solution

The third proportional to 432,189 and 943,110 is: 2,058,026.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,189 : 943,110 = 943,110 : x
  2. Step 2: Convert to fraction form
    432,189/943,110 = 943,110/x
  3. Step 3: Cross multiply
    432,189x = 943,110 × 943,110
  4. Step 4: Simplify right side
    432,189x = 889,456,472,100
  5. Step 5: Solve for x
    x = 889,456,472,100/432,189
  6. Step 6: Final answer
    x = 2,058,026.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.