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Finding the Third Proportional to 976,938 and 2,058,836

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Solution

The third proportional to 976,938 and 2,058,836 is: 4,338,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    976,938 : 2,058,836 = 2,058,836 : x
  2. Step 2: Convert to fraction form
    976,938/2,058,836 = 2,058,836/x
  3. Step 3: Cross multiply
    976,938x = 2,058,836 × 2,058,836
  4. Step 4: Simplify right side
    976,938x = 4,238,805,674,896
  5. Step 5: Solve for x
    x = 4,238,805,674,896/976,938
  6. Step 6: Final answer
    x = 4,338,868.66

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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.