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Finding the Third Proportional to 677,568 and 1,473,231

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Solution

The third proportional to 677,568 and 1,473,231 is: 3,203,235.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,568 : 1,473,231 = 1,473,231 : x
  2. Step 2: Convert to fraction form
    677,568/1,473,231 = 1,473,231/x
  3. Step 3: Cross multiply
    677,568x = 1,473,231 × 1,473,231
  4. Step 4: Simplify right side
    677,568x = 2,170,409,579,361
  5. Step 5: Solve for x
    x = 2,170,409,579,361/677,568
  6. Step 6: Final answer
    x = 3,203,235.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.