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Finding the Third Proportional to 598,299,111 and 919,060,638

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Solution

The third proportional to 598,299,111 and 919,060,638 is: 1,411,789,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,299,111 : 919,060,638 = 919,060,638 : x
  2. Step 2: Convert to fraction form
    598,299,111/919,060,638 = 919,060,638/x
  3. Step 3: Cross multiply
    598,299,111x = 919,060,638 × 919,060,638
  4. Step 4: Simplify right side
    598,299,111x = 844,672,456,320,967,040
  5. Step 5: Solve for x
    x = 844,672,456,320,967,040/598,299,111
  6. Step 6: Final answer
    x = 1,411,789,589.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.