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Finding the Third Proportional to 500,581.75 and 1,036,651.50

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Solution

The third proportional to 500,581.75 and 1,036,651.50 is: 2,146,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,581.75 : 1,036,651.50 = 1,036,651.50 : x
  2. Step 2: Convert to fraction form
    500,581.75/1,036,651.50 = 1,036,651.50/x
  3. Step 3: Cross multiply
    500,581.75x = 1,036,651.50 × 1,036,651.50
  4. Step 4: Simplify right side
    500,581.75x = 1,074,646,332,452.25
  5. Step 5: Solve for x
    x = 1,074,646,332,452.25/500,581.75
  6. Step 6: Final answer
    x = 2,146,794.87

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.