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Finding the Third Proportional to 1,181,508 and 2,531,016

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Solution

The third proportional to 1,181,508 and 2,531,016 is: 5,421,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,508 : 2,531,016 = 2,531,016 : x
  2. Step 2: Convert to fraction form
    1,181,508/2,531,016 = 2,531,016/x
  3. Step 3: Cross multiply
    1,181,508x = 2,531,016 × 2,531,016
  4. Step 4: Simplify right side
    1,181,508x = 6,406,041,992,256
  5. Step 5: Solve for x
    x = 6,406,041,992,256/1,181,508
  6. Step 6: Final answer
    x = 5,421,920.12

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.