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Finding the Third Proportional to 792,967 and 1,728,863

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Solution

The third proportional to 792,967 and 1,728,863 is: 3,769,346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,967 : 1,728,863 = 1,728,863 : x
  2. Step 2: Convert to fraction form
    792,967/1,728,863 = 1,728,863/x
  3. Step 3: Cross multiply
    792,967x = 1,728,863 × 1,728,863
  4. Step 4: Simplify right side
    792,967x = 2,988,967,272,769
  5. Step 5: Solve for x
    x = 2,988,967,272,769/792,967
  6. Step 6: Final answer
    x = 3,769,346.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.