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Finding the Third Proportional to 595,828 and 1,276,934

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Solution

The third proportional to 595,828 and 1,276,934 is: 2,736,629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,828 : 1,276,934 = 1,276,934 : x
  2. Step 2: Convert to fraction form
    595,828/1,276,934 = 1,276,934/x
  3. Step 3: Cross multiply
    595,828x = 1,276,934 × 1,276,934
  4. Step 4: Simplify right side
    595,828x = 1,630,560,440,356
  5. Step 5: Solve for x
    x = 1,630,560,440,356/595,828
  6. Step 6: Final answer
    x = 2,736,629.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.