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Finding the Third Proportional to 451,712 and 982,153

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Solution

The third proportional to 451,712 and 982,153 is: 2,135,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,712 : 982,153 = 982,153 : x
  2. Step 2: Convert to fraction form
    451,712/982,153 = 982,153/x
  3. Step 3: Cross multiply
    451,712x = 982,153 × 982,153
  4. Step 4: Simplify right side
    451,712x = 964,624,515,409
  5. Step 5: Solve for x
    x = 964,624,515,409/451,712
  6. Step 6: Final answer
    x = 2,135,485.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.