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Finding the Third Proportional to 537,424 and 1,171,616

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Solution

The third proportional to 537,424 and 1,171,616 is: 2,554,191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,424 : 1,171,616 = 1,171,616 : x
  2. Step 2: Convert to fraction form
    537,424/1,171,616 = 1,171,616/x
  3. Step 3: Cross multiply
    537,424x = 1,171,616 × 1,171,616
  4. Step 4: Simplify right side
    537,424x = 1,372,684,051,456
  5. Step 5: Solve for x
    x = 1,372,684,051,456/537,424
  6. Step 6: Final answer
    x = 2,554,191.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.