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Finding the Third Proportional to 840,218.06 and 1,821,907.69

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Solution

The third proportional to 840,218.06 and 1,821,907.69 is: 3,950,578.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,218.06 : 1,821,907.69 = 1,821,907.69 : x
  2. Step 2: Convert to fraction form
    840,218.06/1,821,907.69 = 1,821,907.69/x
  3. Step 3: Cross multiply
    840,218.06x = 1,821,907.69 × 1,821,907.69
  4. Step 4: Simplify right side
    840,218.06x = 3,319,347,621,771.60
  5. Step 5: Solve for x
    x = 3,319,347,621,771.60/840,218.06
  6. Step 6: Final answer
    x = 3,950,578.75

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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.