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Finding the Third Proportional to 511,041 and 1,106,723

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Solution

The third proportional to 511,041 and 1,106,723 is: 2,396,746.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,041 : 1,106,723 = 1,106,723 : x
  2. Step 2: Convert to fraction form
    511,041/1,106,723 = 1,106,723/x
  3. Step 3: Cross multiply
    511,041x = 1,106,723 × 1,106,723
  4. Step 4: Simplify right side
    511,041x = 1,224,835,798,729
  5. Step 5: Solve for x
    x = 1,224,835,798,729/511,041
  6. Step 6: Final answer
    x = 2,396,746.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.