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Finding the Third Proportional to 746,872 and 1,147,996

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Solution

The third proportional to 746,872 and 1,147,996 is: 1,764,552.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,872 : 1,147,996 = 1,147,996 : x
  2. Step 2: Convert to fraction form
    746,872/1,147,996 = 1,147,996/x
  3. Step 3: Cross multiply
    746,872x = 1,147,996 × 1,147,996
  4. Step 4: Simplify right side
    746,872x = 1,317,894,816,016
  5. Step 5: Solve for x
    x = 1,317,894,816,016/746,872
  6. Step 6: Final answer
    x = 1,764,552.45

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.