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Finding the Third Proportional to 3,494,022 and 5,241,033

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Solution

The third proportional to 3,494,022 and 5,241,033 is: 7,861,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494,022 : 5,241,033 = 5,241,033 : x
  2. Step 2: Convert to fraction form
    3,494,022/5,241,033 = 5,241,033/x
  3. Step 3: Cross multiply
    3,494,022x = 5,241,033 × 5,241,033
  4. Step 4: Simplify right side
    3,494,022x = 27,468,426,907,089
  5. Step 5: Solve for x
    x = 27,468,426,907,089/3,494,022
  6. Step 6: Final answer
    x = 7,861,549.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.