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Finding the Third Proportional to 694,270 and 1,521,704

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Solution

The third proportional to 694,270 and 1,521,704 is: 3,335,277.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,270 : 1,521,704 = 1,521,704 : x
  2. Step 2: Convert to fraction form
    694,270/1,521,704 = 1,521,704/x
  3. Step 3: Cross multiply
    694,270x = 1,521,704 × 1,521,704
  4. Step 4: Simplify right side
    694,270x = 2,315,583,063,616
  5. Step 5: Solve for x
    x = 2,315,583,063,616/694,270
  6. Step 6: Final answer
    x = 3,335,277.43

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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.