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Finding the Third Proportional to 597,211,538 and 854,013,531

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Solution

The third proportional to 597,211,538 and 854,013,531 is: 1,221,240,824.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,211,538 : 854,013,531 = 854,013,531 : x
  2. Step 2: Convert to fraction form
    597,211,538/854,013,531 = 854,013,531/x
  3. Step 3: Cross multiply
    597,211,538x = 854,013,531 × 854,013,531
  4. Step 4: Simplify right side
    597,211,538x = 729,339,111,131,088,000
  5. Step 5: Solve for x
    x = 729,339,111,131,088,000/597,211,538
  6. Step 6: Final answer
    x = 1,221,240,824.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.