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Finding the Third Proportional to 610,848 and 981,936

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Solution

The third proportional to 610,848 and 981,936 is: 1,578,458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,848 : 981,936 = 981,936 : x
  2. Step 2: Convert to fraction form
    610,848/981,936 = 981,936/x
  3. Step 3: Cross multiply
    610,848x = 981,936 × 981,936
  4. Step 4: Simplify right side
    610,848x = 964,198,308,096
  5. Step 5: Solve for x
    x = 964,198,308,096/610,848
  6. Step 6: Final answer
    x = 1,578,458.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.