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Finding the Third Proportional to 491,489,424 and 1,055,917,224

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Solution

The third proportional to 491,489,424 and 1,055,917,224 is: 2,268,535,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,489,424 : 1,055,917,224 = 1,055,917,224 : x
  2. Step 2: Convert to fraction form
    491,489,424/1,055,917,224 = 1,055,917,224/x
  3. Step 3: Cross multiply
    491,489,424x = 1,055,917,224 × 1,055,917,224
  4. Step 4: Simplify right side
    491,489,424x = 1,114,961,183,939,866,112
  5. Step 5: Solve for x
    x = 1,114,961,183,939,866,112/491,489,424
  6. Step 6: Final answer
    x = 2,268,535,454.67

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Why These Related Problems?

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