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Finding the Third Proportional to 588,920,340 and 1,275,988,758

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Solution

The third proportional to 588,920,340 and 1,275,988,758 is: 2,764,630,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,920,340 : 1,275,988,758 = 1,275,988,758 : x
  2. Step 2: Convert to fraction form
    588,920,340/1,275,988,758 = 1,275,988,758/x
  3. Step 3: Cross multiply
    588,920,340x = 1,275,988,758 × 1,275,988,758
  4. Step 4: Simplify right side
    588,920,340x = 1,628,147,310,542,382,592
  5. Step 5: Solve for x
    x = 1,628,147,310,542,382,592/588,920,340
  6. Step 6: Final answer
    x = 2,764,630,799.71

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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.