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Finding the Third Proportional to 544,061,340 and 1,180,493,758.69

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Solution

The third proportional to 544,061,340 and 1,180,493,758.69 is: 2,561,412,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,061,340 : 1,180,493,758.69 = 1,180,493,758.69 : x
  2. Step 2: Convert to fraction form
    544,061,340/1,180,493,758.69 = 1,180,493,758.69/x
  3. Step 3: Cross multiply
    544,061,340x = 1,180,493,758.69 × 1,180,493,758.69
  4. Step 4: Simplify right side
    544,061,340x = 1,393,565,514,300,141,568
  5. Step 5: Solve for x
    x = 1,393,565,514,300,141,568/544,061,340
  6. Step 6: Final answer
    x = 2,561,412,494.96

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