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Finding the Third Proportional to 629,324 and 1,363,588

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Solution

The third proportional to 629,324 and 1,363,588 is: 2,954,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    629,324 : 1,363,588 = 1,363,588 : x
  2. Step 2: Convert to fraction form
    629,324/1,363,588 = 1,363,588/x
  3. Step 3: Cross multiply
    629,324x = 1,363,588 × 1,363,588
  4. Step 4: Simplify right side
    629,324x = 1,859,372,233,744
  5. Step 5: Solve for x
    x = 1,859,372,233,744/629,324
  6. Step 6: Final answer
    x = 2,954,554.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.