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Finding the Third Proportional to 837,058 and 1,830,608

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Solution

The third proportional to 837,058 and 1,830,608 is: 4,003,456.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    837,058 : 1,830,608 = 1,830,608 : x
  2. Step 2: Convert to fraction form
    837,058/1,830,608 = 1,830,608/x
  3. Step 3: Cross multiply
    837,058x = 1,830,608 × 1,830,608
  4. Step 4: Simplify right side
    837,058x = 3,351,125,649,664
  5. Step 5: Solve for x
    x = 3,351,125,649,664/837,058
  6. Step 6: Final answer
    x = 4,003,456.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.