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Finding the Third Proportional to 812,043 and 1,786,086

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Solution

The third proportional to 812,043 and 1,786,086 is: 3,928,490.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,043 : 1,786,086 = 1,786,086 : x
  2. Step 2: Convert to fraction form
    812,043/1,786,086 = 1,786,086/x
  3. Step 3: Cross multiply
    812,043x = 1,786,086 × 1,786,086
  4. Step 4: Simplify right side
    812,043x = 3,190,103,199,396
  5. Step 5: Solve for x
    x = 3,190,103,199,396/812,043
  6. Step 6: Final answer
    x = 3,928,490.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.