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Finding the Third Proportional to 500,569 and 1,036,626

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Solution

The third proportional to 500,569 and 1,036,626 is: 2,146,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,569 : 1,036,626 = 1,036,626 : x
  2. Step 2: Convert to fraction form
    500,569/1,036,626 = 1,036,626/x
  3. Step 3: Cross multiply
    500,569x = 1,036,626 × 1,036,626
  4. Step 4: Simplify right side
    500,569x = 1,074,593,463,876
  5. Step 5: Solve for x
    x = 1,074,593,463,876/500,569
  6. Step 6: Final answer
    x = 2,146,743.93

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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.