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Finding the Third Proportional to 458,048 and 976,972

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Solution

The third proportional to 458,048 and 976,972 is: 2,083,786.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,048 : 976,972 = 976,972 : x
  2. Step 2: Convert to fraction form
    458,048/976,972 = 976,972/x
  3. Step 3: Cross multiply
    458,048x = 976,972 × 976,972
  4. Step 4: Simplify right side
    458,048x = 954,474,288,784
  5. Step 5: Solve for x
    x = 954,474,288,784/458,048
  6. Step 6: Final answer
    x = 2,083,786.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.