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Finding the Third Proportional to 1,181,600 and 2,531,200

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Solution

The third proportional to 1,181,600 and 2,531,200 is: 5,422,286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,600 : 2,531,200 = 2,531,200 : x
  2. Step 2: Convert to fraction form
    1,181,600/2,531,200 = 2,531,200/x
  3. Step 3: Cross multiply
    1,181,600x = 2,531,200 × 2,531,200
  4. Step 4: Simplify right side
    1,181,600x = 6,406,973,440,000
  5. Step 5: Solve for x
    x = 6,406,973,440,000/1,181,600
  6. Step 6: Final answer
    x = 5,422,286.26

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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.