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Finding the Third Proportional to 649,713 and 1,004,094

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Solution

The third proportional to 649,713 and 1,004,094 is: 1,551,769.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,713 : 1,004,094 = 1,004,094 : x
  2. Step 2: Convert to fraction form
    649,713/1,004,094 = 1,004,094/x
  3. Step 3: Cross multiply
    649,713x = 1,004,094 × 1,004,094
  4. Step 4: Simplify right side
    649,713x = 1,008,204,760,836
  5. Step 5: Solve for x
    x = 1,008,204,760,836/649,713
  6. Step 6: Final answer
    x = 1,551,769.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.