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Finding the Third Proportional to 825,622 and 1,263,047

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Solution

The third proportional to 825,622 and 1,263,047 is: 1,932,225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,622 : 1,263,047 = 1,263,047 : x
  2. Step 2: Convert to fraction form
    825,622/1,263,047 = 1,263,047/x
  3. Step 3: Cross multiply
    825,622x = 1,263,047 × 1,263,047
  4. Step 4: Simplify right side
    825,622x = 1,595,287,724,209
  5. Step 5: Solve for x
    x = 1,595,287,724,209/825,622
  6. Step 6: Final answer
    x = 1,932,225.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.