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Finding the Third Proportional to 591,148 and 1,270,990

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Solution

The third proportional to 591,148 and 1,270,990 is: 2,732,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,148 : 1,270,990 = 1,270,990 : x
  2. Step 2: Convert to fraction form
    591,148/1,270,990 = 1,270,990/x
  3. Step 3: Cross multiply
    591,148x = 1,270,990 × 1,270,990
  4. Step 4: Simplify right side
    591,148x = 1,615,415,580,100
  5. Step 5: Solve for x
    x = 1,615,415,580,100/591,148
  6. Step 6: Final answer
    x = 2,732,675.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.