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Finding the Third Proportional to 804,649 and 1,674,764

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Solution

The third proportional to 804,649 and 1,674,764 is: 3,485,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,649 : 1,674,764 = 1,674,764 : x
  2. Step 2: Convert to fraction form
    804,649/1,674,764 = 1,674,764/x
  3. Step 3: Cross multiply
    804,649x = 1,674,764 × 1,674,764
  4. Step 4: Simplify right side
    804,649x = 2,804,834,455,696
  5. Step 5: Solve for x
    x = 2,804,834,455,696/804,649
  6. Step 6: Final answer
    x = 3,485,786.29

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.