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Finding the Third Proportional to 752,546 and 1,152,795

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Solution

The third proportional to 752,546 and 1,152,795 is: 1,765,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,546 : 1,152,795 = 1,152,795 : x
  2. Step 2: Convert to fraction form
    752,546/1,152,795 = 1,152,795/x
  3. Step 3: Cross multiply
    752,546x = 1,152,795 × 1,152,795
  4. Step 4: Simplify right side
    752,546x = 1,328,936,312,025
  5. Step 5: Solve for x
    x = 1,328,936,312,025/752,546
  6. Step 6: Final answer
    x = 1,765,920.37

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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.