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Finding the Third Proportional to 588,920,399 and 1,275,988,876

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Solution

The third proportional to 588,920,399 and 1,275,988,876 is: 2,764,631,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,920,399 : 1,275,988,876 = 1,275,988,876 : x
  2. Step 2: Convert to fraction form
    588,920,399/1,275,988,876 = 1,275,988,876/x
  3. Step 3: Cross multiply
    588,920,399x = 1,275,988,876 × 1,275,988,876
  4. Step 4: Simplify right side
    588,920,399x = 1,628,147,611,675,743,488
  5. Step 5: Solve for x
    x = 1,628,147,611,675,743,488/588,920,399
  6. Step 6: Final answer
    x = 2,764,631,034.08

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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.