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Finding the Third Proportional to 428,596.88 and 916,241.63

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Solution

The third proportional to 428,596.88 and 916,241.63 is: 1,958,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,596.88 : 916,241.63 = 916,241.63 : x
  2. Step 2: Convert to fraction form
    428,596.88/916,241.63 = 916,241.63/x
  3. Step 3: Cross multiply
    428,596.88x = 916,241.63 × 916,241.63
  4. Step 4: Simplify right side
    428,596.88x = 839,498,715,382.64
  5. Step 5: Solve for x
    x = 839,498,715,382.64/428,596.88
  6. Step 6: Final answer
    x = 1,958,714.04

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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.