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Finding the Third Proportional to 614,982 and 1,351,041

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Solution

The third proportional to 614,982 and 1,351,041 is: 2,968,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,982 : 1,351,041 = 1,351,041 : x
  2. Step 2: Convert to fraction form
    614,982/1,351,041 = 1,351,041/x
  3. Step 3: Cross multiply
    614,982x = 1,351,041 × 1,351,041
  4. Step 4: Simplify right side
    614,982x = 1,825,311,783,681
  5. Step 5: Solve for x
    x = 1,825,311,783,681/614,982
  6. Step 6: Final answer
    x = 2,968,073.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.