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Finding the Third Proportional to 392,362,675 and 841,058,914

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Solution

The third proportional to 392,362,675 and 841,058,914 is: 1,802,873,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,362,675 : 841,058,914 = 841,058,914 : x
  2. Step 2: Convert to fraction form
    392,362,675/841,058,914 = 841,058,914/x
  3. Step 3: Cross multiply
    392,362,675x = 841,058,914 × 841,058,914
  4. Step 4: Simplify right side
    392,362,675x = 707,380,096,818,859,392
  5. Step 5: Solve for x
    x = 707,380,096,818,859,392/392,362,675
  6. Step 6: Final answer
    x = 1,802,873,060.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.