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Finding the Third Proportional to 752,598.42 and 1,072,842.47

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Solution

The third proportional to 752,598.42 and 1,072,842.47 is: 1,529,356.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,598.42 : 1,072,842.47 = 1,072,842.47 : x
  2. Step 2: Convert to fraction form
    752,598.42/1,072,842.47 = 1,072,842.47/x
  3. Step 3: Cross multiply
    752,598.42x = 1,072,842.47 × 1,072,842.47
  4. Step 4: Simplify right side
    752,598.42x = 1,150,990,962,753.59
  5. Step 5: Solve for x
    x = 1,150,990,962,753.59/752,598.42
  6. Step 6: Final answer
    x = 1,529,356.07

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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.