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Finding the Third Proportional to 554,696 and 1,081,744

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Solution

The third proportional to 554,696 and 1,081,744 is: 2,109,570.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,696 : 1,081,744 = 1,081,744 : x
  2. Step 2: Convert to fraction form
    554,696/1,081,744 = 1,081,744/x
  3. Step 3: Cross multiply
    554,696x = 1,081,744 × 1,081,744
  4. Step 4: Simplify right side
    554,696x = 1,170,170,081,536
  5. Step 5: Solve for x
    x = 1,170,170,081,536/554,696
  6. Step 6: Final answer
    x = 2,109,570.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.