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Finding the Third Proportional to 752,598 and 1,072,847

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Solution

The third proportional to 752,598 and 1,072,847 is: 1,529,369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,598 : 1,072,847 = 1,072,847 : x
  2. Step 2: Convert to fraction form
    752,598/1,072,847 = 1,072,847/x
  3. Step 3: Cross multiply
    752,598x = 1,072,847 × 1,072,847
  4. Step 4: Simplify right side
    752,598x = 1,151,000,685,409
  5. Step 5: Solve for x
    x = 1,151,000,685,409/752,598
  6. Step 6: Final answer
    x = 1,529,369.84

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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.