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Finding the Third Proportional to 649,835 and 1,004,256

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Solution

The third proportional to 649,835 and 1,004,256 is: 1,551,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,835 : 1,004,256 = 1,004,256 : x
  2. Step 2: Convert to fraction form
    649,835/1,004,256 = 1,004,256/x
  3. Step 3: Cross multiply
    649,835x = 1,004,256 × 1,004,256
  4. Step 4: Simplify right side
    649,835x = 1,008,530,113,536
  5. Step 5: Solve for x
    x = 1,008,530,113,536/649,835
  6. Step 6: Final answer
    x = 1,551,978.75

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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.