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Finding the Third Proportional to 1,270,019 and 1,810,433

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Solution

The third proportional to 1,270,019 and 1,810,433 is: 2,580,802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,019 : 1,810,433 = 1,810,433 : x
  2. Step 2: Convert to fraction form
    1,270,019/1,810,433 = 1,810,433/x
  3. Step 3: Cross multiply
    1,270,019x = 1,810,433 × 1,810,433
  4. Step 4: Simplify right side
    1,270,019x = 3,277,667,647,489
  5. Step 5: Solve for x
    x = 3,277,667,647,489/1,270,019
  6. Step 6: Final answer
    x = 2,580,802.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.