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Finding the Third Proportional to 1,270,161 and 2,739,744

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Solution

The third proportional to 1,270,161 and 2,739,744 is: 5,909,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,161 : 2,739,744 = 2,739,744 : x
  2. Step 2: Convert to fraction form
    1,270,161/2,739,744 = 2,739,744/x
  3. Step 3: Cross multiply
    1,270,161x = 2,739,744 × 2,739,744
  4. Step 4: Simplify right side
    1,270,161x = 7,506,197,185,536
  5. Step 5: Solve for x
    x = 7,506,197,185,536/1,270,161
  6. Step 6: Final answer
    x = 5,909,642.31

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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.