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Finding the Third Proportional to 650,932,556 and 982,452,144

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Solution

The third proportional to 650,932,556 and 982,452,144 is: 1,482,814,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,932,556 : 982,452,144 = 982,452,144 : x
  2. Step 2: Convert to fraction form
    650,932,556/982,452,144 = 982,452,144/x
  3. Step 3: Cross multiply
    650,932,556x = 982,452,144 × 982,452,144
  4. Step 4: Simplify right side
    650,932,556x = 965,212,215,250,196,736
  5. Step 5: Solve for x
    x = 965,212,215,250,196,736/650,932,556
  6. Step 6: Final answer
    x = 1,482,814,473.41

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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.