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Finding the Third Proportional to 766,696 and 1,160,790

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Solution

The third proportional to 766,696 and 1,160,790 is: 1,757,454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,696 : 1,160,790 = 1,160,790 : x
  2. Step 2: Convert to fraction form
    766,696/1,160,790 = 1,160,790/x
  3. Step 3: Cross multiply
    766,696x = 1,160,790 × 1,160,790
  4. Step 4: Simplify right side
    766,696x = 1,347,433,424,100
  5. Step 5: Solve for x
    x = 1,347,433,424,100/766,696
  6. Step 6: Final answer
    x = 1,757,454.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.