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Finding the Third Proportional to 431,795.81 and 913,414.22

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Solution

The third proportional to 431,795.81 and 913,414.22 is: 1,932,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,795.81 : 913,414.22 = 913,414.22 : x
  2. Step 2: Convert to fraction form
    431,795.81/913,414.22 = 913,414.22/x
  3. Step 3: Cross multiply
    431,795.81x = 913,414.22 × 913,414.22
  4. Step 4: Simplify right side
    431,795.81x = 834,325,535,014.67
  5. Step 5: Solve for x
    x = 834,325,535,014.67/431,795.81
  6. Step 6: Final answer
    x = 1,932,222.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.