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Finding the Third Proportional to 965,180 and 2,058,608

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Solution

The third proportional to 965,180 and 2,058,608 is: 4,390,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,180 : 2,058,608 = 2,058,608 : x
  2. Step 2: Convert to fraction form
    965,180/2,058,608 = 2,058,608/x
  3. Step 3: Cross multiply
    965,180x = 2,058,608 × 2,058,608
  4. Step 4: Simplify right side
    965,180x = 4,237,866,897,664
  5. Step 5: Solve for x
    x = 4,237,866,897,664/965,180
  6. Step 6: Final answer
    x = 4,390,752.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.