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Finding the Third Proportional to 733,864 and 1,616,718

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Solution

The third proportional to 733,864 and 1,616,718 is: 3,561,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,864 : 1,616,718 = 1,616,718 : x
  2. Step 2: Convert to fraction form
    733,864/1,616,718 = 1,616,718/x
  3. Step 3: Cross multiply
    733,864x = 1,616,718 × 1,616,718
  4. Step 4: Simplify right side
    733,864x = 2,613,777,091,524
  5. Step 5: Solve for x
    x = 2,613,777,091,524/733,864
  6. Step 6: Final answer
    x = 3,561,664.14

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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.