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Finding the Third Proportional to 593,536 and 1,277,071

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Solution

The third proportional to 593,536 and 1,277,071 is: 2,747,786.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,536 : 1,277,071 = 1,277,071 : x
  2. Step 2: Convert to fraction form
    593,536/1,277,071 = 1,277,071/x
  3. Step 3: Cross multiply
    593,536x = 1,277,071 × 1,277,071
  4. Step 4: Simplify right side
    593,536x = 1,630,910,339,041
  5. Step 5: Solve for x
    x = 1,630,910,339,041/593,536
  6. Step 6: Final answer
    x = 2,747,786.72

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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.