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Finding the Third Proportional to 668,544 and 1,469,376

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Solution

The third proportional to 668,544 and 1,469,376 is: 3,229,504.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,544 : 1,469,376 = 1,469,376 : x
  2. Step 2: Convert to fraction form
    668,544/1,469,376 = 1,469,376/x
  3. Step 3: Cross multiply
    668,544x = 1,469,376 × 1,469,376
  4. Step 4: Simplify right side
    668,544x = 2,159,065,829,376
  5. Step 5: Solve for x
    x = 2,159,065,829,376/668,544
  6. Step 6: Final answer
    x = 3,229,504.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.