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Finding the Third Proportional to 1,469,301.75 and 2,226,133

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Solution

The third proportional to 1,469,301.75 and 2,226,133 is: 3,372,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,301.75 : 2,226,133 = 2,226,133 : x
  2. Step 2: Convert to fraction form
    1,469,301.75/2,226,133 = 2,226,133/x
  3. Step 3: Cross multiply
    1,469,301.75x = 2,226,133 × 2,226,133
  4. Step 4: Simplify right side
    1,469,301.75x = 4,955,668,133,689
  5. Step 5: Solve for x
    x = 4,955,668,133,689/1,469,301.75
  6. Step 6: Final answer
    x = 3,372,804.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.