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Finding the Third Proportional to 675,024 and 1,425,914

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Solution

The third proportional to 675,024 and 1,425,914 is: 3,012,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,024 : 1,425,914 = 1,425,914 : x
  2. Step 2: Convert to fraction form
    675,024/1,425,914 = 1,425,914/x
  3. Step 3: Cross multiply
    675,024x = 1,425,914 × 1,425,914
  4. Step 4: Simplify right side
    675,024x = 2,033,230,735,396
  5. Step 5: Solve for x
    x = 2,033,230,735,396/675,024
  6. Step 6: Final answer
    x = 3,012,086.59

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.