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Finding the Third Proportional to 667,608 and 1,024,742

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Solution

The third proportional to 667,608 and 1,024,742 is: 1,572,923.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,608 : 1,024,742 = 1,024,742 : x
  2. Step 2: Convert to fraction form
    667,608/1,024,742 = 1,024,742/x
  3. Step 3: Cross multiply
    667,608x = 1,024,742 × 1,024,742
  4. Step 4: Simplify right side
    667,608x = 1,050,096,166,564
  5. Step 5: Solve for x
    x = 1,050,096,166,564/667,608
  6. Step 6: Final answer
    x = 1,572,923.28

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.