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Finding the Third Proportional to 591,138 and 1,270,971

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Solution

The third proportional to 591,138 and 1,270,971 is: 2,732,639.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,138 : 1,270,971 = 1,270,971 : x
  2. Step 2: Convert to fraction form
    591,138/1,270,971 = 1,270,971/x
  3. Step 3: Cross multiply
    591,138x = 1,270,971 × 1,270,971
  4. Step 4: Simplify right side
    591,138x = 1,615,367,282,841
  5. Step 5: Solve for x
    x = 1,615,367,282,841/591,138
  6. Step 6: Final answer
    x = 2,732,639.90

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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.