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Finding the Third Proportional to 648,352.13 and 1,422,816.75

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Solution

The third proportional to 648,352.13 and 1,422,816.75 is: 3,122,388.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,352.13 : 1,422,816.75 = 1,422,816.75 : x
  2. Step 2: Convert to fraction form
    648,352.13/1,422,816.75 = 1,422,816.75/x
  3. Step 3: Cross multiply
    648,352.13x = 1,422,816.75 × 1,422,816.75
  4. Step 4: Simplify right side
    648,352.13x = 2,024,407,504,080.56
  5. Step 5: Solve for x
    x = 2,024,407,504,080.56/648,352.13
  6. Step 6: Final answer
    x = 3,122,388.94

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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.