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Finding the Third Proportional to 414,736 and 909,824

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Solution

The third proportional to 414,736 and 909,824 is: 1,995,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,736 : 909,824 = 909,824 : x
  2. Step 2: Convert to fraction form
    414,736/909,824 = 909,824/x
  3. Step 3: Cross multiply
    414,736x = 909,824 × 909,824
  4. Step 4: Simplify right side
    414,736x = 827,779,710,976
  5. Step 5: Solve for x
    x = 827,779,710,976/414,736
  6. Step 6: Final answer
    x = 1,995,919.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.