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Finding the Third Proportional to 752,094 and 1,165,122

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Solution

The third proportional to 752,094 and 1,165,122 is: 1,804,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,094 : 1,165,122 = 1,165,122 : x
  2. Step 2: Convert to fraction form
    752,094/1,165,122 = 1,165,122/x
  3. Step 3: Cross multiply
    752,094x = 1,165,122 × 1,165,122
  4. Step 4: Simplify right side
    752,094x = 1,357,509,274,884
  5. Step 5: Solve for x
    x = 1,357,509,274,884/752,094
  6. Step 6: Final answer
    x = 1,804,972.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.