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Finding the Third Proportional to 491,976 and 1,059,456

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Solution

The third proportional to 491,976 and 1,059,456 is: 2,281,507.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,976 : 1,059,456 = 1,059,456 : x
  2. Step 2: Convert to fraction form
    491,976/1,059,456 = 1,059,456/x
  3. Step 3: Cross multiply
    491,976x = 1,059,456 × 1,059,456
  4. Step 4: Simplify right side
    491,976x = 1,122,447,015,936
  5. Step 5: Solve for x
    x = 1,122,447,015,936/491,976
  6. Step 6: Final answer
    x = 2,281,507.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.