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Finding the Third Proportional to 812,052 and 1,135,296

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Solution

The third proportional to 812,052 and 1,135,296 is: 1,587,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,052 : 1,135,296 = 1,135,296 : x
  2. Step 2: Convert to fraction form
    812,052/1,135,296 = 1,135,296/x
  3. Step 3: Cross multiply
    812,052x = 1,135,296 × 1,135,296
  4. Step 4: Simplify right side
    812,052x = 1,288,897,007,616
  5. Step 5: Solve for x
    x = 1,288,897,007,616/812,052
  6. Step 6: Final answer
    x = 1,587,209.94

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.