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Finding the Third Proportional to 1,049,764 and 2,302,918

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Solution

The third proportional to 1,049,764 and 2,302,918 is: 5,052,022.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,764 : 2,302,918 = 2,302,918 : x
  2. Step 2: Convert to fraction form
    1,049,764/2,302,918 = 2,302,918/x
  3. Step 3: Cross multiply
    1,049,764x = 2,302,918 × 2,302,918
  4. Step 4: Simplify right side
    1,049,764x = 5,303,431,314,724
  5. Step 5: Solve for x
    x = 5,303,431,314,724/1,049,764
  6. Step 6: Final answer
    x = 5,052,022.47

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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.