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Finding the Third Proportional to 733,898 and 1,616,780

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Solution

The third proportional to 733,898 and 1,616,780 is: 3,561,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,898 : 1,616,780 = 1,616,780 : x
  2. Step 2: Convert to fraction form
    733,898/1,616,780 = 1,616,780/x
  3. Step 3: Cross multiply
    733,898x = 1,616,780 × 1,616,780
  4. Step 4: Simplify right side
    733,898x = 2,613,977,568,400
  5. Step 5: Solve for x
    x = 2,613,977,568,400/733,898
  6. Step 6: Final answer
    x = 3,561,772.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.