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Finding the Third Proportional to 1,036,766 and 2,272,821

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Solution

The third proportional to 1,036,766 and 2,272,821 is: 4,982,527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036,766 : 2,272,821 = 2,272,821 : x
  2. Step 2: Convert to fraction form
    1,036,766/2,272,821 = 2,272,821/x
  3. Step 3: Cross multiply
    1,036,766x = 2,272,821 × 2,272,821
  4. Step 4: Simplify right side
    1,036,766x = 5,165,715,298,041
  5. Step 5: Solve for x
    x = 5,165,715,298,041/1,036,766
  6. Step 6: Final answer
    x = 4,982,527.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.