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Finding the Third Proportional to 650,558 and 1,015,183

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Solution

The third proportional to 650,558 and 1,015,183 is: 1,584,173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,558 : 1,015,183 = 1,015,183 : x
  2. Step 2: Convert to fraction form
    650,558/1,015,183 = 1,015,183/x
  3. Step 3: Cross multiply
    650,558x = 1,015,183 × 1,015,183
  4. Step 4: Simplify right side
    650,558x = 1,030,596,523,489
  5. Step 5: Solve for x
    x = 1,030,596,523,489/650,558
  6. Step 6: Final answer
    x = 1,584,173.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.