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Finding the Third Proportional to 650,932,578 and 982,452,177

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Solution

The third proportional to 650,932,578 and 982,452,177 is: 1,482,814,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,932,578 : 982,452,177 = 982,452,177 : x
  2. Step 2: Convert to fraction form
    650,932,578/982,452,177 = 982,452,177/x
  3. Step 3: Cross multiply
    650,932,578x = 982,452,177 × 982,452,177
  4. Step 4: Simplify right side
    650,932,578x = 965,212,280,092,039,296
  5. Step 5: Solve for x
    x = 965,212,280,092,039,296/650,932,578
  6. Step 6: Final answer
    x = 1,482,814,522.91

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Why These Related Problems?

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