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Finding the Third Proportional to 682,276 and 1,070,238

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Solution

The third proportional to 682,276 and 1,070,238 is: 1,678,806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,276 : 1,070,238 = 1,070,238 : x
  2. Step 2: Convert to fraction form
    682,276/1,070,238 = 1,070,238/x
  3. Step 3: Cross multiply
    682,276x = 1,070,238 × 1,070,238
  4. Step 4: Simplify right side
    682,276x = 1,145,409,376,644
  5. Step 5: Solve for x
    x = 1,145,409,376,644/682,276
  6. Step 6: Final answer
    x = 1,678,806.49

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.