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Finding the Third Proportional to 650,932,586 and 982,452,189

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Solution

The third proportional to 650,932,586 and 982,452,189 is: 1,482,814,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,932,586 : 982,452,189 = 982,452,189 : x
  2. Step 2: Convert to fraction form
    650,932,586/982,452,189 = 982,452,189/x
  3. Step 3: Cross multiply
    650,932,586x = 982,452,189 × 982,452,189
  4. Step 4: Simplify right side
    650,932,586x = 965,212,303,670,891,776
  5. Step 5: Solve for x
    x = 965,212,303,670,891,776/650,932,586
  6. Step 6: Final answer
    x = 1,482,814,540.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.