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Finding the Third Proportional to 746,866 and 1,147,987

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Solution

The third proportional to 746,866 and 1,147,987 is: 1,764,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,866 : 1,147,987 = 1,147,987 : x
  2. Step 2: Convert to fraction form
    746,866/1,147,987 = 1,147,987/x
  3. Step 3: Cross multiply
    746,866x = 1,147,987 × 1,147,987
  4. Step 4: Simplify right side
    746,866x = 1,317,874,152,169
  5. Step 5: Solve for x
    x = 1,317,874,152,169/746,866
  6. Step 6: Final answer
    x = 1,764,538.96

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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.