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Finding the Third Proportional to 649,837 and 1,004,259

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Solution

The third proportional to 649,837 and 1,004,259 is: 1,551,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,837 : 1,004,259 = 1,004,259 : x
  2. Step 2: Convert to fraction form
    649,837/1,004,259 = 1,004,259/x
  3. Step 3: Cross multiply
    649,837x = 1,004,259 × 1,004,259
  4. Step 4: Simplify right side
    649,837x = 1,008,536,139,081
  5. Step 5: Solve for x
    x = 1,008,536,139,081/649,837
  6. Step 6: Final answer
    x = 1,551,983.25

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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.