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Finding the Third Proportional to 976,934 and 2,058,828

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Solution

The third proportional to 976,934 and 2,058,828 is: 4,338,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,934 : 2,058,828 = 2,058,828 : x
  2. Step 2: Convert to fraction form
    976,934/2,058,828 = 2,058,828/x
  3. Step 3: Cross multiply
    976,934x = 2,058,828 × 2,058,828
  4. Step 4: Simplify right side
    976,934x = 4,238,772,733,584
  5. Step 5: Solve for x
    x = 4,238,772,733,584/976,934
  6. Step 6: Final answer
    x = 4,338,852.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.