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Finding the Third Proportional to 664,155 and 1,425,062.25

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Solution

The third proportional to 664,155 and 1,425,062.25 is: 3,057,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,155 : 1,425,062.25 = 1,425,062.25 : x
  2. Step 2: Convert to fraction form
    664,155/1,425,062.25 = 1,425,062.25/x
  3. Step 3: Cross multiply
    664,155x = 1,425,062.25 × 1,425,062.25
  4. Step 4: Simplify right side
    664,155x = 2,030,802,416,375.06
  5. Step 5: Solve for x
    x = 2,030,802,416,375.06/664,155
  6. Step 6: Final answer
    x = 3,057,723.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.