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Finding the Third Proportional to 1,272,191.06 and 2,743,664.91

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Solution

The third proportional to 1,272,191.06 and 2,743,664.91 is: 5,917,112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,191.06 : 2,743,664.91 = 2,743,664.91 : x
  2. Step 2: Convert to fraction form
    1,272,191.06/2,743,664.91 = 2,743,664.91/x
  3. Step 3: Cross multiply
    1,272,191.06x = 2,743,664.91 × 2,743,664.91
  4. Step 4: Simplify right side
    1,272,191.06x = 7,527,697,117,787.82
  5. Step 5: Solve for x
    x = 7,527,697,117,787.82/1,272,191.06
  6. Step 6: Final answer
    x = 5,917,112.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.