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Finding the Third Proportional to 816,816 and 1,226,112

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Solution

The third proportional to 816,816 and 1,226,112 is: 1,840,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,816 : 1,226,112 = 1,226,112 : x
  2. Step 2: Convert to fraction form
    816,816/1,226,112 = 1,226,112/x
  3. Step 3: Cross multiply
    816,816x = 1,226,112 × 1,226,112
  4. Step 4: Simplify right side
    816,816x = 1,503,350,636,544
  5. Step 5: Solve for x
    x = 1,503,350,636,544/816,816
  6. Step 6: Final answer
    x = 1,840,500.97

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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.