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Finding the Third Proportional to 667,596 and 1,024,722

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Solution

The third proportional to 667,596 and 1,024,722 is: 1,572,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,596 : 1,024,722 = 1,024,722 : x
  2. Step 2: Convert to fraction form
    667,596/1,024,722 = 1,024,722/x
  3. Step 3: Cross multiply
    667,596x = 1,024,722 × 1,024,722
  4. Step 4: Simplify right side
    667,596x = 1,050,055,177,284
  5. Step 5: Solve for x
    x = 1,050,055,177,284/667,596
  6. Step 6: Final answer
    x = 1,572,890.16

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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.