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Finding the Third Proportional to 431,042 and 942,340

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Solution

The third proportional to 431,042 and 942,340 is: 2,060,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,042 : 942,340 = 942,340 : x
  2. Step 2: Convert to fraction form
    431,042/942,340 = 942,340/x
  3. Step 3: Cross multiply
    431,042x = 942,340 × 942,340
  4. Step 4: Simplify right side
    431,042x = 888,004,675,600
  5. Step 5: Solve for x
    x = 888,004,675,600/431,042
  6. Step 6: Final answer
    x = 2,060,134.92

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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.