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Finding the Third Proportional to 580,293,194 and 1,274,586,508

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Solution

The third proportional to 580,293,194 and 1,274,586,508 is: 2,799,568,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,293,194 : 1,274,586,508 = 1,274,586,508 : x
  2. Step 2: Convert to fraction form
    580,293,194/1,274,586,508 = 1,274,586,508/x
  3. Step 3: Cross multiply
    580,293,194x = 1,274,586,508 × 1,274,586,508
  4. Step 4: Simplify right side
    580,293,194x = 1,624,570,766,375,634,176
  5. Step 5: Solve for x
    x = 1,624,570,766,375,634,176/580,293,194
  6. Step 6: Final answer
    x = 2,799,568,878.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.