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Finding the Third Proportional to 491,489,432 and 1,055,917,240

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Solution

The third proportional to 491,489,432 and 1,055,917,240 is: 2,268,535,486.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,489,432 : 1,055,917,240 = 1,055,917,240 : x
  2. Step 2: Convert to fraction form
    491,489,432/1,055,917,240 = 1,055,917,240/x
  3. Step 3: Cross multiply
    491,489,432x = 1,055,917,240 × 1,055,917,240
  4. Step 4: Simplify right side
    491,489,432x = 1,114,961,217,729,217,536
  5. Step 5: Solve for x
    x = 1,114,961,217,729,217,536/491,489,432
  6. Step 6: Final answer
    x = 2,268,535,486.49

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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.