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Finding the Third Proportional to 685,843.88 and 1,507,443.75

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Solution

The third proportional to 685,843.88 and 1,507,443.75 is: 3,313,271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,843.88 : 1,507,443.75 = 1,507,443.75 : x
  2. Step 2: Convert to fraction form
    685,843.88/1,507,443.75 = 1,507,443.75/x
  3. Step 3: Cross multiply
    685,843.88x = 1,507,443.75 × 1,507,443.75
  4. Step 4: Simplify right side
    685,843.88x = 2,272,386,659,414.06
  5. Step 5: Solve for x
    x = 2,272,386,659,414.06/685,843.88
  6. Step 6: Final answer
    x = 3,313,271.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.