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Finding the Third Proportional to 591,504 and 1,271,472

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Solution

The third proportional to 591,504 and 1,271,472 is: 2,733,102.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,504 : 1,271,472 = 1,271,472 : x
  2. Step 2: Convert to fraction form
    591,504/1,271,472 = 1,271,472/x
  3. Step 3: Cross multiply
    591,504x = 1,271,472 × 1,271,472
  4. Step 4: Simplify right side
    591,504x = 1,616,641,046,784
  5. Step 5: Solve for x
    x = 1,616,641,046,784/591,504
  6. Step 6: Final answer
    x = 2,733,102.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.