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Finding the Third Proportional to 664,164 and 1,425,082.50

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Solution

The third proportional to 664,164 and 1,425,082.50 is: 3,057,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,164 : 1,425,082.50 = 1,425,082.50 : x
  2. Step 2: Convert to fraction form
    664,164/1,425,082.50 = 1,425,082.50/x
  3. Step 3: Cross multiply
    664,164x = 1,425,082.50 × 1,425,082.50
  4. Step 4: Simplify right side
    664,164x = 2,030,860,131,806.25
  5. Step 5: Solve for x
    x = 2,030,860,131,806.25/664,164
  6. Step 6: Final answer
    x = 3,057,769.06

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