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Finding the Third Proportional to 699,104 and 1,052,116

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Solution

The third proportional to 699,104 and 1,052,116 is: 1,583,381.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,104 : 1,052,116 = 1,052,116 : x
  2. Step 2: Convert to fraction form
    699,104/1,052,116 = 1,052,116/x
  3. Step 3: Cross multiply
    699,104x = 1,052,116 × 1,052,116
  4. Step 4: Simplify right side
    699,104x = 1,106,948,077,456
  5. Step 5: Solve for x
    x = 1,106,948,077,456/699,104
  6. Step 6: Final answer
    x = 1,583,381.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.