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Finding the Third Proportional to 663,014 and 1,431,673

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Solution

The third proportional to 663,014 and 1,431,673 is: 3,091,469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,014 : 1,431,673 = 1,431,673 : x
  2. Step 2: Convert to fraction form
    663,014/1,431,673 = 1,431,673/x
  3. Step 3: Cross multiply
    663,014x = 1,431,673 × 1,431,673
  4. Step 4: Simplify right side
    663,014x = 2,049,687,578,929
  5. Step 5: Solve for x
    x = 2,049,687,578,929/663,014
  6. Step 6: Final answer
    x = 3,091,469.53

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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.