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Finding the Third Proportional to 806,817 and 1,738,116

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Solution

The third proportional to 806,817 and 1,738,116 is: 3,744,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,817 : 1,738,116 = 1,738,116 : x
  2. Step 2: Convert to fraction form
    806,817/1,738,116 = 1,738,116/x
  3. Step 3: Cross multiply
    806,817x = 1,738,116 × 1,738,116
  4. Step 4: Simplify right side
    806,817x = 3,021,047,229,456
  5. Step 5: Solve for x
    x = 3,021,047,229,456/806,817
  6. Step 6: Final answer
    x = 3,744,402.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.