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Finding the Third Proportional to 677,864 and 1,460,794

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Solution

The third proportional to 677,864 and 1,460,794 is: 3,148,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,864 : 1,460,794 = 1,460,794 : x
  2. Step 2: Convert to fraction form
    677,864/1,460,794 = 1,460,794/x
  3. Step 3: Cross multiply
    677,864x = 1,460,794 × 1,460,794
  4. Step 4: Simplify right side
    677,864x = 2,133,919,110,436
  5. Step 5: Solve for x
    x = 2,133,919,110,436/677,864
  6. Step 6: Final answer
    x = 3,148,004.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.