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Finding the Third Proportional to 500,589 and 1,036,662

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Solution

The third proportional to 500,589 and 1,036,662 is: 2,146,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,589 : 1,036,662 = 1,036,662 : x
  2. Step 2: Convert to fraction form
    500,589/1,036,662 = 1,036,662/x
  3. Step 3: Cross multiply
    500,589x = 1,036,662 × 1,036,662
  4. Step 4: Simplify right side
    500,589x = 1,074,668,102,244
  5. Step 5: Solve for x
    x = 1,074,668,102,244/500,589
  6. Step 6: Final answer
    x = 2,146,807.27

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Why These Related Problems?

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