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Finding the Third Proportional to 501,220 and 1,101,678

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Solution

The third proportional to 501,220 and 1,101,678 is: 2,421,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,220 : 1,101,678 = 1,101,678 : x
  2. Step 2: Convert to fraction form
    501,220/1,101,678 = 1,101,678/x
  3. Step 3: Cross multiply
    501,220x = 1,101,678 × 1,101,678
  4. Step 4: Simplify right side
    501,220x = 1,213,694,415,684
  5. Step 5: Solve for x
    x = 1,213,694,415,684/501,220
  6. Step 6: Final answer
    x = 2,421,480.42

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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.