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Finding the Third Proportional to 429,082 and 925,608

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Solution

The third proportional to 429,082 and 925,608 is: 1,996,704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,082 : 925,608 = 925,608 : x
  2. Step 2: Convert to fraction form
    429,082/925,608 = 925,608/x
  3. Step 3: Cross multiply
    429,082x = 925,608 × 925,608
  4. Step 4: Simplify right side
    429,082x = 856,750,169,664
  5. Step 5: Solve for x
    x = 856,750,169,664/429,082
  6. Step 6: Final answer
    x = 1,996,704.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.