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Finding the Third Proportional to 431,036 and 942,324

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Solution

The third proportional to 431,036 and 942,324 is: 2,060,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,036 : 942,324 = 942,324 : x
  2. Step 2: Convert to fraction form
    431,036/942,324 = 942,324/x
  3. Step 3: Cross multiply
    431,036x = 942,324 × 942,324
  4. Step 4: Simplify right side
    431,036x = 887,974,520,976
  5. Step 5: Solve for x
    x = 887,974,520,976/431,036
  6. Step 6: Final answer
    x = 2,060,093.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.