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Finding the Third Proportional to 617,163 and 925,743

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Solution

The third proportional to 617,163 and 925,743 is: 1,388,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,163 : 925,743 = 925,743 : x
  2. Step 2: Convert to fraction form
    617,163/925,743 = 925,743/x
  3. Step 3: Cross multiply
    617,163x = 925,743 × 925,743
  4. Step 4: Simplify right side
    617,163x = 857,000,102,049
  5. Step 5: Solve for x
    x = 857,000,102,049/617,163
  6. Step 6: Final answer
    x = 1,388,612.25

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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.