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Finding the Third Proportional to 727,146 and 1,562,238

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Solution

The third proportional to 727,146 and 1,562,238 is: 3,356,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,146 : 1,562,238 = 1,562,238 : x
  2. Step 2: Convert to fraction form
    727,146/1,562,238 = 1,562,238/x
  3. Step 3: Cross multiply
    727,146x = 1,562,238 × 1,562,238
  4. Step 4: Simplify right side
    727,146x = 2,440,587,568,644
  5. Step 5: Solve for x
    x = 2,440,587,568,644/727,146
  6. Step 6: Final answer
    x = 3,356,392.76

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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.