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Finding the Third Proportional to 544,061,275 and 1,180,493,638

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Solution

The third proportional to 544,061,275 and 1,180,493,638 is: 2,561,412,277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,061,275 : 1,180,493,638 = 1,180,493,638 : x
  2. Step 2: Convert to fraction form
    544,061,275/1,180,493,638 = 1,180,493,638/x
  3. Step 3: Cross multiply
    544,061,275x = 1,180,493,638 × 1,180,493,638
  4. Step 4: Simplify right side
    544,061,275x = 1,393,565,229,358,475,008
  5. Step 5: Solve for x
    x = 1,393,565,229,358,475,008/544,061,275
  6. Step 6: Final answer
    x = 2,561,412,277.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.