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Finding the Third Proportional to 669,601.69 and 1,010,439.56

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Solution

The third proportional to 669,601.69 and 1,010,439.56 is: 1,524,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,601.69 : 1,010,439.56 = 1,010,439.56 : x
  2. Step 2: Convert to fraction form
    669,601.69/1,010,439.56 = 1,010,439.56/x
  3. Step 3: Cross multiply
    669,601.69x = 1,010,439.56 × 1,010,439.56
  4. Step 4: Simplify right side
    669,601.69x = 1,020,988,109,465.19
  5. Step 5: Solve for x
    x = 1,020,988,109,465.19/669,601.69
  6. Step 6: Final answer
    x = 1,524,769.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.