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Finding the Third Proportional to 650,932,551 and 982,452,138

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Solution

The third proportional to 650,932,551 and 982,452,138 is: 1,482,814,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,932,551 : 982,452,138 = 982,452,138 : x
  2. Step 2: Convert to fraction form
    650,932,551/982,452,138 = 982,452,138/x
  3. Step 3: Cross multiply
    650,932,551x = 982,452,138 × 982,452,138
  4. Step 4: Simplify right side
    650,932,551x = 965,212,203,460,771,072
  5. Step 5: Solve for x
    x = 965,212,203,460,771,072/650,932,551
  6. Step 6: Final answer
    x = 1,482,814,466.69

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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.