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Finding the Third Proportional to 435,141 and 942,858

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Solution

The third proportional to 435,141 and 942,858 is: 2,042,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,141 : 942,858 = 942,858 : x
  2. Step 2: Convert to fraction form
    435,141/942,858 = 942,858/x
  3. Step 3: Cross multiply
    435,141x = 942,858 × 942,858
  4. Step 4: Simplify right side
    435,141x = 888,981,208,164
  5. Step 5: Solve for x
    x = 888,981,208,164/435,141
  6. Step 6: Final answer
    x = 2,042,972.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.