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Finding the Third Proportional to 3,213,684 and 4,406,670

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Solution

The third proportional to 3,213,684 and 4,406,670 is: 6,042,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213,684 : 4,406,670 = 4,406,670 : x
  2. Step 2: Convert to fraction form
    3,213,684/4,406,670 = 4,406,670/x
  3. Step 3: Cross multiply
    3,213,684x = 4,406,670 × 4,406,670
  4. Step 4: Simplify right side
    3,213,684x = 19,418,740,488,900
  5. Step 5: Solve for x
    x = 19,418,740,488,900/3,213,684
  6. Step 6: Final answer
    x = 6,042,517.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.