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Finding the Third Proportional to 2,081,320 and 4,539,824

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Solution

The third proportional to 2,081,320 and 4,539,824 is: 9,902,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,320 : 4,539,824 = 4,539,824 : x
  2. Step 2: Convert to fraction form
    2,081,320/4,539,824 = 4,539,824/x
  3. Step 3: Cross multiply
    2,081,320x = 4,539,824 × 4,539,824
  4. Step 4: Simplify right side
    2,081,320x = 20,610,001,950,976
  5. Step 5: Solve for x
    x = 20,610,001,950,976/2,081,320
  6. Step 6: Final answer
    x = 9,902,370.59

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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.