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Finding the Third Proportional to 823,447 and 1,761,050

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Solution

The third proportional to 823,447 and 1,761,050 is: 3,766,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,447 : 1,761,050 = 1,761,050 : x
  2. Step 2: Convert to fraction form
    823,447/1,761,050 = 1,761,050/x
  3. Step 3: Cross multiply
    823,447x = 1,761,050 × 1,761,050
  4. Step 4: Simplify right side
    823,447x = 3,101,297,102,500
  5. Step 5: Solve for x
    x = 3,101,297,102,500/823,447
  6. Step 6: Final answer
    x = 3,766,237.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.