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Finding the Third Proportional to 621,021 and 1,264,880

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Solution

The third proportional to 621,021 and 1,264,880 is: 2,576,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,021 : 1,264,880 = 1,264,880 : x
  2. Step 2: Convert to fraction form
    621,021/1,264,880 = 1,264,880/x
  3. Step 3: Cross multiply
    621,021x = 1,264,880 × 1,264,880
  4. Step 4: Simplify right side
    621,021x = 1,599,921,414,400
  5. Step 5: Solve for x
    x = 1,599,921,414,400/621,021
  6. Step 6: Final answer
    x = 2,576,275.87

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.