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Finding the Third Proportional to 694,289 and 1,521,742

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Solution

The third proportional to 694,289 and 1,521,742 is: 3,335,352.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,289 : 1,521,742 = 1,521,742 : x
  2. Step 2: Convert to fraction form
    694,289/1,521,742 = 1,521,742/x
  3. Step 3: Cross multiply
    694,289x = 1,521,742 × 1,521,742
  4. Step 4: Simplify right side
    694,289x = 2,315,698,714,564
  5. Step 5: Solve for x
    x = 2,315,698,714,564/694,289
  6. Step 6: Final answer
    x = 3,335,352.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.