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Finding the Third Proportional to 1,650,384 and 2,226,744

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Solution

The third proportional to 1,650,384 and 2,226,744 is: 3,004,384.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650,384 : 2,226,744 = 2,226,744 : x
  2. Step 2: Convert to fraction form
    1,650,384/2,226,744 = 2,226,744/x
  3. Step 3: Cross multiply
    1,650,384x = 2,226,744 × 2,226,744
  4. Step 4: Simplify right side
    1,650,384x = 4,958,388,841,536
  5. Step 5: Solve for x
    x = 4,958,388,841,536/1,650,384
  6. Step 6: Final answer
    x = 3,004,384.94

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.