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Finding the Third Proportional to 454,875,756 and 982,380,324

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Solution

The third proportional to 454,875,756 and 982,380,324 is: 2,121,614,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,875,756 : 982,380,324 = 982,380,324 : x
  2. Step 2: Convert to fraction form
    454,875,756/982,380,324 = 982,380,324/x
  3. Step 3: Cross multiply
    454,875,756x = 982,380,324 × 982,380,324
  4. Step 4: Simplify right side
    454,875,756x = 965,071,100,982,344,960
  5. Step 5: Solve for x
    x = 965,071,100,982,344,960/454,875,756
  6. Step 6: Final answer
    x = 2,121,614,722.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.