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Finding the Third Proportional to 852,034.57 and 1,245,096.56

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Solution

The third proportional to 852,034.57 and 1,245,096.56 is: 1,819,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,034.57 : 1,245,096.56 = 1,245,096.56 : x
  2. Step 2: Convert to fraction form
    852,034.57/1,245,096.56 = 1,245,096.56/x
  3. Step 3: Cross multiply
    852,034.57x = 1,245,096.56 × 1,245,096.56
  4. Step 4: Simplify right side
    852,034.57x = 1,550,265,449,949.32
  5. Step 5: Solve for x
    x = 1,550,265,449,949.32/852,034.57
  6. Step 6: Final answer
    x = 1,819,486.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.