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Finding the Third Proportional to 827,696 and 1,265,610

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Solution

The third proportional to 827,696 and 1,265,610 is: 1,935,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,696 : 1,265,610 = 1,265,610 : x
  2. Step 2: Convert to fraction form
    827,696/1,265,610 = 1,265,610/x
  3. Step 3: Cross multiply
    827,696x = 1,265,610 × 1,265,610
  4. Step 4: Simplify right side
    827,696x = 1,601,768,672,100
  5. Step 5: Solve for x
    x = 1,601,768,672,100/827,696
  6. Step 6: Final answer
    x = 1,935,213.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.