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Finding the Third Proportional to 752,775 and 1,073,097

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Solution

The third proportional to 752,775 and 1,073,097 is: 1,529,722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,775 : 1,073,097 = 1,073,097 : x
  2. Step 2: Convert to fraction form
    752,775/1,073,097 = 1,073,097/x
  3. Step 3: Cross multiply
    752,775x = 1,073,097 × 1,073,097
  4. Step 4: Simplify right side
    752,775x = 1,151,537,171,409
  5. Step 5: Solve for x
    x = 1,151,537,171,409/752,775
  6. Step 6: Final answer
    x = 1,529,722.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.