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Finding the Third Proportional to 664,832 and 1,431,040

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Solution

The third proportional to 664,832 and 1,431,040 is: 3,080,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,832 : 1,431,040 = 1,431,040 : x
  2. Step 2: Convert to fraction form
    664,832/1,431,040 = 1,431,040/x
  3. Step 3: Cross multiply
    664,832x = 1,431,040 × 1,431,040
  4. Step 4: Simplify right side
    664,832x = 2,047,875,481,600
  5. Step 5: Solve for x
    x = 2,047,875,481,600/664,832
  6. Step 6: Final answer
    x = 3,080,290.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.